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Finding the Fourth Proportional to 80,493.40, 120,761.70 and 71,788.60

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Solution

The fourth proportional to 80,493.40, 120,761.70 and 71,788.60 is: 107,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,493.40 : 120,761.70 = 71,788.60 : x
  2. Step 2: Convert to fraction form
    80,493.40/120,761.70 = 71,788.60/x
  3. Step 3: Cross multiply
    80,493.40x = 120,761.70 × 71,788.60
  4. Step 4: Simplify right side
    80,493.40x = 8,669,313,376.62
  5. Step 5: Solve for x
    x = 8,669,313,376.62/80,493.40
  6. Step 6: Final answer
    x = 107,702.16

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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.