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Finding the Fourth Proportional to 215,732.20, 323,540.70 and 75,476.20

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Solution

The fourth proportional to 215,732.20, 323,540.70 and 75,476.20 is: 113,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,732.20 : 323,540.70 = 75,476.20 : x
  2. Step 2: Convert to fraction form
    215,732.20/323,540.70 = 75,476.20/x
  3. Step 3: Cross multiply
    215,732.20x = 323,540.70 × 75,476.20
  4. Step 4: Simplify right side
    215,732.20x = 24,419,622,581.34
  5. Step 5: Solve for x
    x = 24,419,622,581.34/215,732.20
  6. Step 6: Final answer
    x = 113,194.15

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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.