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Finding the Fourth Proportional to 274,169.82, 378,321.39 and 157,921.10

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Solution

The fourth proportional to 274,169.82, 378,321.39 and 157,921.10 is: 217,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,169.82 : 378,321.39 = 157,921.10 : x
  2. Step 2: Convert to fraction form
    274,169.82/378,321.39 = 157,921.10/x
  3. Step 3: Cross multiply
    274,169.82x = 378,321.39 × 157,921.10
  4. Step 4: Simplify right side
    274,169.82x = 59,744,930,640.36
  5. Step 5: Solve for x
    x = 59,744,930,640.36/274,169.82
  6. Step 6: Final answer
    x = 217,912.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.