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Finding the Fourth Proportional to 80,275.28, 120,490.68 and 38,751.44

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Solution

The fourth proportional to 80,275.28, 120,490.68 and 38,751.44 is: 58,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,275.28 : 120,490.68 = 38,751.44 : x
  2. Step 2: Convert to fraction form
    80,275.28/120,490.68 = 38,751.44/x
  3. Step 3: Cross multiply
    80,275.28x = 120,490.68 × 38,751.44
  4. Step 4: Simplify right side
    80,275.28x = 4,669,187,356.58
  5. Step 5: Solve for x
    x = 4,669,187,356.58/80,275.28
  6. Step 6: Final answer
    x = 58,164.70

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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.