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Finding the Fourth Proportional to 83,913.20, 125,869.80 and 76,914.80

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Solution

The fourth proportional to 83,913.20, 125,869.80 and 76,914.80 is: 115,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,913.20 : 125,869.80 = 76,914.80 : x
  2. Step 2: Convert to fraction form
    83,913.20/125,869.80 = 76,914.80/x
  3. Step 3: Cross multiply
    83,913.20x = 125,869.80 × 76,914.80
  4. Step 4: Simplify right side
    83,913.20x = 9,681,250,493.04
  5. Step 5: Solve for x
    x = 9,681,250,493.04/83,913.20
  6. Step 6: Final answer
    x = 115,372.20

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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.