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Finding the Fourth Proportional to 215,658.48, 323,587.92 and 82,494.72

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Solution

The fourth proportional to 215,658.48, 323,587.92 and 82,494.72 is: 123,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,658.48 : 323,587.92 = 82,494.72 : x
  2. Step 2: Convert to fraction form
    215,658.48/323,587.92 = 82,494.72/x
  3. Step 3: Cross multiply
    215,658.48x = 323,587.92 × 82,494.72
  4. Step 4: Simplify right side
    215,658.48x = 26,694,294,855.78
  5. Step 5: Solve for x
    x = 26,694,294,855.78/215,658.48
  6. Step 6: Final answer
    x = 123,780.41

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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.