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Finding the Fourth Proportional to 168,153.62, 231,972.80 and 100,131.84

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Solution

The fourth proportional to 168,153.62, 231,972.80 and 100,131.84 is: 138,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,153.62 : 231,972.80 = 100,131.84 : x
  2. Step 2: Convert to fraction form
    168,153.62/231,972.80 = 100,131.84/x
  3. Step 3: Cross multiply
    168,153.62x = 231,972.80 × 100,131.84
  4. Step 4: Simplify right side
    168,153.62x = 23,227,862,793.29
  5. Step 5: Solve for x
    x = 23,227,862,793.29/168,153.62
  6. Step 6: Final answer
    x = 138,134.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.