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Finding the Fourth Proportional to 80,442.80, 120,679.88 and 24,287.44

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Solution

The fourth proportional to 80,442.80, 120,679.88 and 24,287.44 is: 36,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,442.80 : 120,679.88 = 24,287.44 : x
  2. Step 2: Convert to fraction form
    80,442.80/120,679.88 = 24,287.44/x
  3. Step 3: Cross multiply
    80,442.80x = 120,679.88 × 24,287.44
  4. Step 4: Simplify right side
    80,442.80x = 2,931,005,344.71
  5. Step 5: Solve for x
    x = 2,931,005,344.71/80,442.80
  6. Step 6: Final answer
    x = 36,435.89

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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.