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Finding the Fourth Proportional to 218,108.36, 327,186 and 91,761.48

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Solution

The fourth proportional to 218,108.36, 327,186 and 91,761.48 is: 137,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,108.36 : 327,186 = 91,761.48 : x
  2. Step 2: Convert to fraction form
    218,108.36/327,186 = 91,761.48/x
  3. Step 3: Cross multiply
    218,108.36x = 327,186 × 91,761.48
  4. Step 4: Simplify right side
    218,108.36x = 30,023,071,595.28
  5. Step 5: Solve for x
    x = 30,023,071,595.28/218,108.36
  6. Step 6: Final answer
    x = 137,652.09

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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.