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Finding the Fourth Proportional to 83,713.15, 125,409.34 and 80,899.21

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Solution

The fourth proportional to 83,713.15, 125,409.34 and 80,899.21 is: 121,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,713.15 : 125,409.34 = 80,899.21 : x
  2. Step 2: Convert to fraction form
    83,713.15/125,409.34 = 80,899.21/x
  3. Step 3: Cross multiply
    83,713.15x = 125,409.34 × 80,899.21
  4. Step 4: Simplify right side
    83,713.15x = 10,145,516,532.62
  5. Step 5: Solve for x
    x = 10,145,516,532.62/83,713.15
  6. Step 6: Final answer
    x = 121,193.82

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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.