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Finding the Fourth Proportional to 218,791.92, 328,317.06 and 92,424

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Solution

The fourth proportional to 218,791.92, 328,317.06 and 92,424 is: 138,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,791.92 : 328,317.06 = 92,424 : x
  2. Step 2: Convert to fraction form
    218,791.92/328,317.06 = 92,424/x
  3. Step 3: Cross multiply
    218,791.92x = 328,317.06 × 92,424
  4. Step 4: Simplify right side
    218,791.92x = 30,344,375,953.44
  5. Step 5: Solve for x
    x = 30,344,375,953.44/218,791.92
  6. Step 6: Final answer
    x = 138,690.57

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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.