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Finding the Fourth Proportional to 218,471.16, 327,834.12 and 92,103.66

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Solution

The fourth proportional to 218,471.16, 327,834.12 and 92,103.66 is: 138,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,471.16 : 327,834.12 = 92,103.66 : x
  2. Step 2: Convert to fraction form
    218,471.16/327,834.12 = 92,103.66/x
  3. Step 3: Cross multiply
    218,471.16x = 327,834.12 × 92,103.66
  4. Step 4: Simplify right side
    218,471.16x = 30,194,722,324.88
  5. Step 5: Solve for x
    x = 30,194,722,324.88/218,471.16
  6. Step 6: Final answer
    x = 138,209.19

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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.