So, the population will always be 50 percent of the previous population counted.
4,500×1.50^x=y
4,500 is the population that it starts with, while 1.50 is telling that it is increasing by 50%. X is the number of years.
We are trying to find it in 88 years, so we should replace x with 4. Here is the reason, it doubles every 22 years and we are looking 88 years.
4,500×1.50^4= 22,781.25
There can't be .25 of a person, so the answer would be 22,781.