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Finding the Fourth Proportional to 80,780.40, 121,024.80 and 71,449.20

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Solution

The fourth proportional to 80,780.40, 121,024.80 and 71,449.20 is: 107,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,780.40 : 121,024.80 = 71,449.20 : x
  2. Step 2: Convert to fraction form
    80,780.40/121,024.80 = 71,449.20/x
  3. Step 3: Cross multiply
    80,780.40x = 121,024.80 × 71,449.20
  4. Step 4: Simplify right side
    80,780.40x = 8,647,125,140.16
  5. Step 5: Solve for x
    x = 8,647,125,140.16/80,780.40
  6. Step 6: Final answer
    x = 107,044.84

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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.