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Finding the Fourth Proportional to 218,215.92, 327,129.79 and 85,189.37

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Solution

The fourth proportional to 218,215.92, 327,129.79 and 85,189.37 is: 127,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,215.92 : 327,129.79 = 85,189.37 : x
  2. Step 2: Convert to fraction form
    218,215.92/327,129.79 = 85,189.37/x
  3. Step 3: Cross multiply
    218,215.92x = 327,129.79 × 85,189.37
  4. Step 4: Simplify right side
    218,215.92x = 27,867,980,869.55
  5. Step 5: Solve for x
    x = 27,867,980,869.55/218,215.92
  6. Step 6: Final answer
    x = 127,708.28

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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.