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Finding the Fourth Proportional to 156,937.92, 216,565.13 and 85,317.31

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Solution

The fourth proportional to 156,937.92, 216,565.13 and 85,317.31 is: 117,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,937.92 : 216,565.13 = 85,317.31 : x
  2. Step 2: Convert to fraction form
    156,937.92/216,565.13 = 85,317.31/x
  3. Step 3: Cross multiply
    156,937.92x = 216,565.13 × 85,317.31
  4. Step 4: Simplify right side
    156,937.92x = 18,476,754,331.40
  5. Step 5: Solve for x
    x = 18,476,754,331.40/156,937.92
  6. Step 6: Final answer
    x = 117,732.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.