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Finding the Fourth Proportional to 218,925.96, 328,402.78 and 92,542.65

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Solution

The fourth proportional to 218,925.96, 328,402.78 and 92,542.65 is: 138,819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,925.96 : 328,402.78 = 92,542.65 : x
  2. Step 2: Convert to fraction form
    218,925.96/328,402.78 = 92,542.65/x
  3. Step 3: Cross multiply
    218,925.96x = 328,402.78 × 92,542.65
  4. Step 4: Simplify right side
    218,925.96x = 30,391,264,433.52
  5. Step 5: Solve for x
    x = 30,391,264,433.52/218,925.96
  6. Step 6: Final answer
    x = 138,819.83

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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.