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Finding the Fourth Proportional to 83,902.10, 125,525.10 and 54,377.60

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Solution

The fourth proportional to 83,902.10, 125,525.10 and 54,377.60 is: 81,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,902.10 : 125,525.10 = 54,377.60 : x
  2. Step 2: Convert to fraction form
    83,902.10/125,525.10 = 54,377.60/x
  3. Step 3: Cross multiply
    83,902.10x = 125,525.10 × 54,377.60
  4. Step 4: Simplify right side
    83,902.10x = 6,825,753,677.76
  5. Step 5: Solve for x
    x = 6,825,753,677.76/83,902.10
  6. Step 6: Final answer
    x = 81,353.79

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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.