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Finding the Fourth Proportional to 269,138.44, 371,393.22 and 161,713

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Solution

The fourth proportional to 269,138.44, 371,393.22 and 161,713 is: 223,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,138.44 : 371,393.22 = 161,713 : x
  2. Step 2: Convert to fraction form
    269,138.44/371,393.22 = 161,713/x
  3. Step 3: Cross multiply
    269,138.44x = 371,393.22 × 161,713
  4. Step 4: Simplify right side
    269,138.44x = 60,059,111,785.86
  5. Step 5: Solve for x
    x = 60,059,111,785.86/269,138.44
  6. Step 6: Final answer
    x = 223,153.23

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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.