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Finding the Fourth Proportional to 269,249.68, 371,499.24 and 161,902

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Solution

The fourth proportional to 269,249.68, 371,499.24 and 161,902 is: 223,385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,249.68 : 371,499.24 = 161,902 : x
  2. Step 2: Convert to fraction form
    269,249.68/371,499.24 = 161,902/x
  3. Step 3: Cross multiply
    269,249.68x = 371,499.24 × 161,902
  4. Step 4: Simplify right side
    269,249.68x = 60,146,469,954.48
  5. Step 5: Solve for x
    x = 60,146,469,954.48/269,249.68
  6. Step 6: Final answer
    x = 223,385.48

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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.