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Finding the Fourth Proportional to 217,843.43, 326,765.41 and 68,084.51

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Solution

The fourth proportional to 217,843.43, 326,765.41 and 68,084.51 is: 102,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,843.43 : 326,765.41 = 68,084.51 : x
  2. Step 2: Convert to fraction form
    217,843.43/326,765.41 = 68,084.51/x
  3. Step 3: Cross multiply
    217,843.43x = 326,765.41 × 68,084.51
  4. Step 4: Simplify right side
    217,843.43x = 22,247,661,505.79
  5. Step 5: Solve for x
    x = 22,247,661,505.79/217,843.43
  6. Step 6: Final answer
    x = 102,126.84

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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.