Finding the Fourth Proportional to 142.34, 213.55 and 111.96

Step by Step Solution

1. Step 1: Write the proportion equation
   142.34 : 213.55 = 111.96 : x
2. Step 2: Convert to fraction form
   142.34/213.55 = 111.96/x
3. Step 3: Cross multiply
   142.34x = 213.55 × 111.96
4. Step 4: Simplify right side
   142.34x = 23,908.78
5. Step 5: Solve for x
   x = 23,908.78/142.34
6. Step 6: Final answer
   x = 167.98