There are twice as many zebra enclosures, so there must be 4 tiger enclosures * 2 = <<4*2=8>>8 zebra enclosures.
This means there are 8 zebra enclosures * 3 = <<8*3=24>>24 giraffe enclosures.
In the tiger enclosures, there are 4 tiger enclosures * 4 = <<4*4=16>>16 tigers.
In the zebra enclosures, there are 8 zebra enclosures * 10 zebras = <<8*10=80>>80 zebras.
In the giraffe enclosures, there are 24 giraffe enclosures * 2 giraffes = <<24*2=48>>48 giraffes.
So in total, there are 16 tigers + 80 zebras + 48 giraffes = <<16+80+48=144>>144 animals in the zoo.
#### 144