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Finding the Fourth Proportional to 281,532.52, 422,259.90 and 71,157.70

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Solution

The fourth proportional to 281,532.52, 422,259.90 and 71,157.70 is: 106,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,532.52 : 422,259.90 = 71,157.70 : x
  2. Step 2: Convert to fraction form
    281,532.52/422,259.90 = 71,157.70/x
  3. Step 3: Cross multiply
    281,532.52x = 422,259.90 × 71,157.70
  4. Step 4: Simplify right side
    281,532.52x = 30,047,043,286.23
  5. Step 5: Solve for x
    x = 30,047,043,286.23/281,532.52
  6. Step 6: Final answer
    x = 106,726.72

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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.