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Finding the Fourth Proportional to 81,691.47, 112,728.65 and 45,884.79

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Solution

The fourth proportional to 81,691.47, 112,728.65 and 45,884.79 is: 63,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,691.47 : 112,728.65 = 45,884.79 : x
  2. Step 2: Convert to fraction form
    81,691.47/112,728.65 = 45,884.79/x
  3. Step 3: Cross multiply
    81,691.47x = 112,728.65 × 45,884.79
  4. Step 4: Simplify right side
    81,691.47x = 5,172,530,202.81
  5. Step 5: Solve for x
    x = 5,172,530,202.81/81,691.47
  6. Step 6: Final answer
    x = 63,317.87

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Why These Related Problems?

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