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Finding the Fourth Proportional to 127,876.64, 176,469.96 and 71,286.80

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Solution

The fourth proportional to 127,876.64, 176,469.96 and 71,286.80 is: 98,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,876.64 : 176,469.96 = 71,286.80 : x
  2. Step 2: Convert to fraction form
    127,876.64/176,469.96 = 71,286.80/x
  3. Step 3: Cross multiply
    127,876.64x = 176,469.96 × 71,286.80
  4. Step 4: Simplify right side
    127,876.64x = 12,579,978,744.53
  5. Step 5: Solve for x
    x = 12,579,978,744.53/127,876.64
  6. Step 6: Final answer
    x = 98,375.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.