Laporte Township is bordered by Cherry Township to the north, Colley Township to the east, Davidson Township to the south, Shrewsbury Township to the west and Forks Township to the northwest.
There were 152 households out of which 25.7% had children under the age of 18 living with them, 66.4% were married couples living together, 5.3% had a female householder with no husband present, and 24.3% were non-families. 20.4% of all households were made up of individuals and 9.9% had someone living alone who was 65 years of age or older. The average household size was 2.45 and the average family size was 2.84.
In the township the population was spread out with 19.0% under the age of 18, 5.6% from 18 to 24, 24.7% from 25 to 44, 30.3% from 45 to 64, and 20.4% who were 65 years of age or older. The median age was 46 years. For every 100 females there were 110.7 males. For every 100 females age 18 and over, there were 100.0 males.
The median income for a household in the township was $30,000, and the median income for a family was $36,875. Males had a median income of $33,750 versus $23,125 for females. The per capita income for the township was $16,845. About 13.9% of families and 15.4% of the population were below the poverty line, including 20.8% of those under age 18 and 20.7% of those age 65 or over.