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Finding the Fourth Proportional to 217,086.92, 325,704.29 and 137,031.78

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Solution

The fourth proportional to 217,086.92, 325,704.29 and 137,031.78 is: 205,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,086.92 : 325,704.29 = 137,031.78 : x
  2. Step 2: Convert to fraction form
    217,086.92/325,704.29 = 137,031.78/x
  3. Step 3: Cross multiply
    217,086.92x = 325,704.29 × 137,031.78
  4. Step 4: Simplify right side
    217,086.92x = 44,631,839,919.37
  5. Step 5: Solve for x
    x = 44,631,839,919.37/217,086.92
  6. Step 6: Final answer
    x = 205,594.33

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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.