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Finding the Fourth Proportional to 281,534.52, 422,262.90 and 71,159.70

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Solution

The fourth proportional to 281,534.52, 422,262.90 and 71,159.70 is: 106,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,534.52 : 422,262.90 = 71,159.70 : x
  2. Step 2: Convert to fraction form
    281,534.52/422,262.90 = 71,159.70/x
  3. Step 3: Cross multiply
    281,534.52x = 422,262.90 × 71,159.70
  4. Step 4: Simplify right side
    281,534.52x = 30,048,101,285.13
  5. Step 5: Solve for x
    x = 30,048,101,285.13/281,534.52
  6. Step 6: Final answer
    x = 106,729.72

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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.