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Finding the Fourth Proportional to 139,854.20, 209,781.30 and 80,805.20

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Solution

The fourth proportional to 139,854.20, 209,781.30 and 80,805.20 is: 121,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,854.20 : 209,781.30 = 80,805.20 : x
  2. Step 2: Convert to fraction form
    139,854.20/209,781.30 = 80,805.20/x
  3. Step 3: Cross multiply
    139,854.20x = 209,781.30 × 80,805.20
  4. Step 4: Simplify right side
    139,854.20x = 16,951,419,902.76
  5. Step 5: Solve for x
    x = 16,951,419,902.76/139,854.20
  6. Step 6: Final answer
    x = 121,207.80

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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.