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Finding the Fourth Proportional to 80,125.92, 120,138 and 42,662.88

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Solution

The fourth proportional to 80,125.92, 120,138 and 42,662.88 is: 63,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,125.92 : 120,138 = 42,662.88 : x
  2. Step 2: Convert to fraction form
    80,125.92/120,138 = 42,662.88/x
  3. Step 3: Cross multiply
    80,125.92x = 120,138 × 42,662.88
  4. Step 4: Simplify right side
    80,125.92x = 5,125,433,077.44
  5. Step 5: Solve for x
    x = 5,125,433,077.44/80,125.92
  6. Step 6: Final answer
    x = 63,967.23

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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.