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Finding the Fourth Proportional to 83,722.20, 125,583.30 and 77,817.30

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Solution

The fourth proportional to 83,722.20, 125,583.30 and 77,817.30 is: 116,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,722.20 : 125,583.30 = 77,817.30 : x
  2. Step 2: Convert to fraction form
    83,722.20/125,583.30 = 77,817.30/x
  3. Step 3: Cross multiply
    83,722.20x = 125,583.30 × 77,817.30
  4. Step 4: Simplify right side
    83,722.20x = 9,772,553,331.09
  5. Step 5: Solve for x
    x = 9,772,553,331.09/83,722.20
  6. Step 6: Final answer
    x = 116,725.95

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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.