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Finding the Fourth Proportional to 83,722.80, 115,532.20 and 77,035.44

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Solution

The fourth proportional to 83,722.80, 115,532.20 and 77,035.44 is: 106,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,722.80 : 115,532.20 = 77,035.44 : x
  2. Step 2: Convert to fraction form
    83,722.80/115,532.20 = 77,035.44/x
  3. Step 3: Cross multiply
    83,722.80x = 115,532.20 × 77,035.44
  4. Step 4: Simplify right side
    83,722.80x = 8,900,073,861.17
  5. Step 5: Solve for x
    x = 8,900,073,861.17/83,722.80
  6. Step 6: Final answer
    x = 106,304.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.