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Finding the Fourth Proportional to 137,390.78, 206,115.57 and 42,618.90

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Solution

The fourth proportional to 137,390.78, 206,115.57 and 42,618.90 is: 63,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,390.78 : 206,115.57 = 42,618.90 : x
  2. Step 2: Convert to fraction form
    137,390.78/206,115.57 = 42,618.90/x
  3. Step 3: Cross multiply
    137,390.78x = 206,115.57 × 42,618.90
  4. Step 4: Simplify right side
    137,390.78x = 8,784,418,866.27
  5. Step 5: Solve for x
    x = 8,784,418,866.27/137,390.78
  6. Step 6: Final answer
    x = 63,937.47

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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.