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Finding the Fourth Proportional to 83,695.56, 125,543.54 and 20,515.97

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Solution

The fourth proportional to 83,695.56, 125,543.54 and 20,515.97 is: 30,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,695.56 : 125,543.54 = 20,515.97 : x
  2. Step 2: Convert to fraction form
    83,695.56/125,543.54 = 20,515.97/x
  3. Step 3: Cross multiply
    83,695.56x = 125,543.54 × 20,515.97
  4. Step 4: Simplify right side
    83,695.56x = 2,575,646,923.91
  5. Step 5: Solve for x
    x = 2,575,646,923.91/83,695.56
  6. Step 6: Final answer
    x = 30,774.00

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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.