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Finding the Fourth Proportional to 156,361.80, 234,609.12 and 77,477.52

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Solution

The fourth proportional to 156,361.80, 234,609.12 and 77,477.52 is: 116,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,361.80 : 234,609.12 = 77,477.52 : x
  2. Step 2: Convert to fraction form
    156,361.80/234,609.12 = 77,477.52/x
  3. Step 3: Cross multiply
    156,361.80x = 234,609.12 × 77,477.52
  4. Step 4: Simplify right side
    156,361.80x = 18,176,932,786.98
  5. Step 5: Solve for x
    x = 18,176,932,786.98/156,361.80
  6. Step 6: Final answer
    x = 116,249.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.