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Finding the Fourth Proportional to 83,209.70, 124,948.20 and 77,069.90

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Solution

The fourth proportional to 83,209.70, 124,948.20 and 77,069.90 is: 115,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209.70 : 124,948.20 = 77,069.90 : x
  2. Step 2: Convert to fraction form
    83,209.70/124,948.20 = 77,069.90/x
  3. Step 3: Cross multiply
    83,209.70x = 124,948.20 × 77,069.90
  4. Step 4: Simplify right side
    83,209.70x = 9,629,745,279.18
  5. Step 5: Solve for x
    x = 9,629,745,279.18/83,209.70
  6. Step 6: Final answer
    x = 115,728.64

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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.