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Finding the Fourth Proportional to 218,140.81, 327,211.31 and 68,392.77

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Solution

The fourth proportional to 218,140.81, 327,211.31 and 68,392.77 is: 102,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,140.81 : 327,211.31 = 68,392.77 : x
  2. Step 2: Convert to fraction form
    218,140.81/327,211.31 = 68,392.77/x
  3. Step 3: Cross multiply
    218,140.81x = 327,211.31 × 68,392.77
  4. Step 4: Simplify right side
    218,140.81x = 22,378,888,650.73
  5. Step 5: Solve for x
    x = 22,378,888,650.73/218,140.81
  6. Step 6: Final answer
    x = 102,589.19

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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.