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Finding the Fourth Proportional to 81,158.44, 111,978.18 and 47,617.96

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Solution

The fourth proportional to 81,158.44, 111,978.18 and 47,617.96 is: 65,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,158.44 : 111,978.18 = 47,617.96 : x
  2. Step 2: Convert to fraction form
    81,158.44/111,978.18 = 47,617.96/x
  3. Step 3: Cross multiply
    81,158.44x = 111,978.18 × 47,617.96
  4. Step 4: Simplify right side
    81,158.44x = 5,332,172,496.11
  5. Step 5: Solve for x
    x = 5,332,172,496.11/81,158.44
  6. Step 6: Final answer
    x = 65,700.78

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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.