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Finding the Fourth Proportional to 80,113.92, 120,120 and 42,650.88

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Solution

The fourth proportional to 80,113.92, 120,120 and 42,650.88 is: 63,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,113.92 : 120,120 = 42,650.88 : x
  2. Step 2: Convert to fraction form
    80,113.92/120,120 = 42,650.88/x
  3. Step 3: Cross multiply
    80,113.92x = 120,120 × 42,650.88
  4. Step 4: Simplify right side
    80,113.92x = 5,123,223,705.60
  5. Step 5: Solve for x
    x = 5,123,223,705.60/80,113.92
  6. Step 6: Final answer
    x = 63,949.23

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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.