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Finding the Fourth Proportional to 215,732.64, 323,645.66 and 82,612.89

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Solution

The fourth proportional to 215,732.64, 323,645.66 and 82,612.89 is: 123,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,732.64 : 323,645.66 = 82,612.89 : x
  2. Step 2: Convert to fraction form
    215,732.64/323,645.66 = 82,612.89/x
  3. Step 3: Cross multiply
    215,732.64x = 323,645.66 × 82,612.89
  4. Step 4: Simplify right side
    215,732.64x = 26,737,303,308.56
  5. Step 5: Solve for x
    x = 26,737,303,308.56/215,732.64
  6. Step 6: Final answer
    x = 123,937.22

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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.