Finding the Fourth Proportional to 142.12, 196.27 and 117.82

Step by Step Solution

1. Step 1: Write the proportion equation
   142.12 : 196.27 = 117.82 : x
2. Step 2: Convert to fraction form
   142.12/196.27 = 117.82/x
3. Step 3: Cross multiply
   142.12x = 196.27 × 117.82
4. Step 4: Simplify right side
   142.12x = 23,124.53
5. Step 5: Solve for x
   x = 23,124.53/142.12
6. Step 6: Final answer
   x = 162.71