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Finding the Fourth Proportional to 218,151.52, 327,224.82 and 85,125.22

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Solution

The fourth proportional to 218,151.52, 327,224.82 and 85,125.22 is: 127,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,151.52 : 327,224.82 = 85,125.22 : x
  2. Step 2: Convert to fraction form
    218,151.52/327,224.82 = 85,125.22/x
  3. Step 3: Cross multiply
    218,151.52x = 327,224.82 × 85,125.22
  4. Step 4: Simplify right side
    218,151.52x = 27,855,084,791.96
  5. Step 5: Solve for x
    x = 27,855,084,791.96/218,151.52
  6. Step 6: Final answer
    x = 127,686.87

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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.