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Finding the Fourth Proportional to 215,644.79, 323,314.10 and 82,412.75

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Solution

The fourth proportional to 215,644.79, 323,314.10 and 82,412.75 is: 123,560.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,644.79 : 323,314.10 = 82,412.75 : x
  2. Step 2: Convert to fraction form
    215,644.79/323,314.10 = 82,412.75/x
  3. Step 3: Cross multiply
    215,644.79x = 323,314.10 × 82,412.75
  4. Step 4: Simplify right side
    215,644.79x = 26,645,204,800.04
  5. Step 5: Solve for x
    x = 26,645,204,800.04/215,644.79
  6. Step 6: Final answer
    x = 123,560.62

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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.