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Finding the Fourth Proportional to 218,591.26, 327,898.59 and 68,843.21

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Solution

The fourth proportional to 218,591.26, 327,898.59 and 68,843.21 is: 103,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,591.26 : 327,898.59 = 68,843.21 : x
  2. Step 2: Convert to fraction form
    218,591.26/327,898.59 = 68,843.21/x
  3. Step 3: Cross multiply
    218,591.26x = 327,898.59 × 68,843.21
  4. Step 4: Simplify right side
    218,591.26x = 22,573,589,506.36
  5. Step 5: Solve for x
    x = 22,573,589,506.36/218,591.26
  6. Step 6: Final answer
    x = 103,268.49

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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.