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Finding the Fourth Proportional to 218,351.91, 327,333.07 and 85,201.20

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Solution

The fourth proportional to 218,351.91, 327,333.07 and 85,201.20 is: 127,725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,351.91 : 327,333.07 = 85,201.20 : x
  2. Step 2: Convert to fraction form
    218,351.91/327,333.07 = 85,201.20/x
  3. Step 3: Cross multiply
    218,351.91x = 327,333.07 × 85,201.20
  4. Step 4: Simplify right side
    218,351.91x = 27,889,170,709.81
  5. Step 5: Solve for x
    x = 27,889,170,709.81/218,351.91
  6. Step 6: Final answer
    x = 127,725.79

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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.