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Finding the Fourth Proportional to 217,660.80, 326,344.32 and 75,469.44

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Solution

The fourth proportional to 217,660.80, 326,344.32 and 75,469.44 is: 113,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,660.80 : 326,344.32 = 75,469.44 : x
  2. Step 2: Convert to fraction form
    217,660.80/326,344.32 = 75,469.44/x
  3. Step 3: Cross multiply
    217,660.80x = 326,344.32 × 75,469.44
  4. Step 4: Simplify right side
    217,660.80x = 24,629,023,077.58
  5. Step 5: Solve for x
    x = 24,629,023,077.58/217,660.80
  6. Step 6: Final answer
    x = 113,153.23

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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.