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Finding the Fourth Proportional to 217,494.72, 326,261.52 and 84,371.76

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Solution

The fourth proportional to 217,494.72, 326,261.52 and 84,371.76 is: 126,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,494.72 : 326,261.52 = 84,371.76 : x
  2. Step 2: Convert to fraction form
    217,494.72/326,261.52 = 84,371.76/x
  3. Step 3: Cross multiply
    217,494.72x = 326,261.52 × 84,371.76
  4. Step 4: Simplify right side
    217,494.72x = 27,527,258,662.68
  5. Step 5: Solve for x
    x = 27,527,258,662.68/217,494.72
  6. Step 6: Final answer
    x = 126,565.18

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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.