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Finding the Fourth Proportional to 218,134.82, 327,377.21 and 112,983.86

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Solution

The fourth proportional to 218,134.82, 327,377.21 and 112,983.86 is: 169,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,134.82 : 327,377.21 = 112,983.86 : x
  2. Step 2: Convert to fraction form
    218,134.82/327,377.21 = 112,983.86/x
  3. Step 3: Cross multiply
    218,134.82x = 327,377.21 × 112,983.86
  4. Step 4: Simplify right side
    218,134.82x = 36,988,338,660.03
  5. Step 5: Solve for x
    x = 36,988,338,660.03/218,134.82
  6. Step 6: Final answer
    x = 169,566.42

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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.