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Finding the Fourth Proportional to 83,891.56, 125,776.32 and 39,493.68

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Solution

The fourth proportional to 83,891.56, 125,776.32 and 39,493.68 is: 59,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,891.56 : 125,776.32 = 39,493.68 : x
  2. Step 2: Convert to fraction form
    83,891.56/125,776.32 = 39,493.68/x
  3. Step 3: Cross multiply
    83,891.56x = 125,776.32 × 39,493.68
  4. Step 4: Simplify right side
    83,891.56x = 4,967,369,733.66
  5. Step 5: Solve for x
    x = 4,967,369,733.66/83,891.56
  6. Step 6: Final answer
    x = 59,211.79

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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.