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Finding the Fourth Proportional to 140,107.60, 209,930.55 and 80,839.90

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Solution

The fourth proportional to 140,107.60, 209,930.55 and 80,839.90 is: 121,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,107.60 : 209,930.55 = 80,839.90 : x
  2. Step 2: Convert to fraction form
    140,107.60/209,930.55 = 80,839.90/x
  3. Step 3: Cross multiply
    140,107.60x = 209,930.55 × 80,839.90
  4. Step 4: Simplify right side
    140,107.60x = 16,970,764,668.95
  5. Step 5: Solve for x
    x = 16,970,764,668.95/140,107.60
  6. Step 6: Final answer
    x = 121,126.65

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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.