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Finding the Fourth Proportional to 83,869.30, 125,872.80 and 83,213.20

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Solution

The fourth proportional to 83,869.30, 125,872.80 and 83,213.20 is: 124,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,869.30 : 125,872.80 = 83,213.20 : x
  2. Step 2: Convert to fraction form
    83,869.30/125,872.80 = 83,213.20/x
  3. Step 3: Cross multiply
    83,869.30x = 125,872.80 × 83,213.20
  4. Step 4: Simplify right side
    83,869.30x = 10,474,278,480.96
  5. Step 5: Solve for x
    x = 10,474,278,480.96/83,869.30
  6. Step 6: Final answer
    x = 124,888.11

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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.