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Finding the Fourth Proportional to 83,309.76, 124,951.79 and 27,149.72

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Solution

The fourth proportional to 83,309.76, 124,951.79 and 27,149.72 is: 40,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,309.76 : 124,951.79 = 27,149.72 : x
  2. Step 2: Convert to fraction form
    83,309.76/124,951.79 = 27,149.72/x
  3. Step 3: Cross multiply
    83,309.76x = 124,951.79 × 27,149.72
  4. Step 4: Simplify right side
    83,309.76x = 3,392,406,112.00
  5. Step 5: Solve for x
    x = 3,392,406,112.00/83,309.76
  6. Step 6: Final answer
    x = 40,720.39

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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.