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Finding the Fourth Proportional to 218,081.30, 327,121.54 and 68,333.05

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Solution

The fourth proportional to 218,081.30, 327,121.54 and 68,333.05 is: 102,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,081.30 : 327,121.54 = 68,333.05 : x
  2. Step 2: Convert to fraction form
    218,081.30/327,121.54 = 68,333.05/x
  3. Step 3: Cross multiply
    218,081.30x = 327,121.54 × 68,333.05
  4. Step 4: Simplify right side
    218,081.30x = 22,353,212,786.97
  5. Step 5: Solve for x
    x = 22,353,212,786.97/218,081.30
  6. Step 6: Final answer
    x = 102,499.45

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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.