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Finding the Fourth Proportional to 83,221.12, 114,849.39 and 49,249.11

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Solution

The fourth proportional to 83,221.12, 114,849.39 and 49,249.11 is: 67,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221.12 : 114,849.39 = 49,249.11 : x
  2. Step 2: Convert to fraction form
    83,221.12/114,849.39 = 49,249.11/x
  3. Step 3: Cross multiply
    83,221.12x = 114,849.39 × 49,249.11
  4. Step 4: Simplify right side
    83,221.12x = 5,656,230,856.91
  5. Step 5: Solve for x
    x = 5,656,230,856.91/83,221.12
  6. Step 6: Final answer
    x = 67,966.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.