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Finding the Fourth Proportional to 281,589.47, 422,385.60 and 71,227.61

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Solution

The fourth proportional to 281,589.47, 422,385.60 and 71,227.61 is: 106,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,589.47 : 422,385.60 = 71,227.61 : x
  2. Step 2: Convert to fraction form
    281,589.47/422,385.60 = 71,227.61/x
  3. Step 3: Cross multiply
    281,589.47x = 422,385.60 × 71,227.61
  4. Step 4: Simplify right side
    281,589.47x = 30,085,516,786.42
  5. Step 5: Solve for x
    x = 30,085,516,786.42/281,589.47
  6. Step 6: Final answer
    x = 106,841.77

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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.