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Finding the Fourth Proportional to 82,279.80, 123,419.70 and 75,864.60

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Solution

The fourth proportional to 82,279.80, 123,419.70 and 75,864.60 is: 113,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,279.80 : 123,419.70 = 75,864.60 : x
  2. Step 2: Convert to fraction form
    82,279.80/123,419.70 = 75,864.60/x
  3. Step 3: Cross multiply
    82,279.80x = 123,419.70 × 75,864.60
  4. Step 4: Simplify right side
    82,279.80x = 9,363,186,172.62
  5. Step 5: Solve for x
    x = 9,363,186,172.62/82,279.80
  6. Step 6: Final answer
    x = 113,796.90

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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.