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Finding the Fourth Proportional to 83,476.68, 125,213.20 and 20,297.14

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Solution

The fourth proportional to 83,476.68, 125,213.20 and 20,297.14 is: 30,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,476.68 : 125,213.20 = 20,297.14 : x
  2. Step 2: Convert to fraction form
    83,476.68/125,213.20 = 20,297.14/x
  3. Step 3: Cross multiply
    83,476.68x = 125,213.20 × 20,297.14
  4. Step 4: Simplify right side
    83,476.68x = 2,541,469,850.25
  5. Step 5: Solve for x
    x = 2,541,469,850.25/83,476.68
  6. Step 6: Final answer
    x = 30,445.27

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1.5x scale

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.