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Finding the Fourth Proportional to 218,132.82, 327,374.21 and 112,981.86

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Solution

The fourth proportional to 218,132.82, 327,374.21 and 112,981.86 is: 169,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,132.82 : 327,374.21 = 112,981.86 : x
  2. Step 2: Convert to fraction form
    218,132.82/327,374.21 = 112,981.86/x
  3. Step 3: Cross multiply
    218,132.82x = 327,374.21 × 112,981.86
  4. Step 4: Simplify right side
    218,132.82x = 36,987,347,161.83
  5. Step 5: Solve for x
    x = 36,987,347,161.83/218,132.82
  6. Step 6: Final answer
    x = 169,563.42

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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.