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Finding the Fourth Proportional to 83,409.85, 125,114.97 and 20,229.71

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Solution

The fourth proportional to 83,409.85, 125,114.97 and 20,229.71 is: 30,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,409.85 : 125,114.97 = 20,229.71 : x
  2. Step 2: Convert to fraction form
    83,409.85/125,114.97 = 20,229.71/x
  3. Step 3: Cross multiply
    83,409.85x = 125,114.97 × 20,229.71
  4. Step 4: Simplify right side
    83,409.85x = 2,531,039,559.76
  5. Step 5: Solve for x
    x = 2,531,039,559.76/83,409.85
  6. Step 6: Final answer
    x = 30,344.61

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1.5x scale

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.