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Finding the Fourth Proportional to 218,120.40, 326,921.40 and 91,760.40

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Solution

The fourth proportional to 218,120.40, 326,921.40 and 91,760.40 is: 137,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,120.40 : 326,921.40 = 91,760.40 : x
  2. Step 2: Convert to fraction form
    218,120.40/326,921.40 = 91,760.40/x
  3. Step 3: Cross multiply
    218,120.40x = 326,921.40 × 91,760.40
  4. Step 4: Simplify right side
    218,120.40x = 29,998,438,432.56
  5. Step 5: Solve for x
    x = 29,998,438,432.56/218,120.40
  6. Step 6: Final answer
    x = 137,531.56

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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.