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Finding the Fourth Proportional to 137,909.13, 206,897.04 and 47,938.86

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Solution

The fourth proportional to 137,909.13, 206,897.04 and 47,938.86 is: 71,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,909.13 : 206,897.04 = 47,938.86 : x
  2. Step 2: Convert to fraction form
    137,909.13/206,897.04 = 47,938.86/x
  3. Step 3: Cross multiply
    137,909.13x = 206,897.04 × 47,938.86
  4. Step 4: Simplify right side
    137,909.13x = 9,918,408,234.97
  5. Step 5: Solve for x
    x = 9,918,408,234.97/137,909.13
  6. Step 6: Final answer
    x = 71,919.88

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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.