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Finding the Fourth Proportional to 137,385.69, 206,108.11 and 42,613.97

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Solution

The fourth proportional to 137,385.69, 206,108.11 and 42,613.97 is: 63,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,385.69 : 206,108.11 = 42,613.97 : x
  2. Step 2: Convert to fraction form
    137,385.69/206,108.11 = 42,613.97/x
  3. Step 3: Cross multiply
    137,385.69x = 206,108.11 × 42,613.97
  4. Step 4: Simplify right side
    137,385.69x = 8,783,083,839.02
  5. Step 5: Solve for x
    x = 8,783,083,839.02/137,385.69
  6. Step 6: Final answer
    x = 63,930.12

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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.