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Finding the Fourth Proportional to 269,137.44, 371,391.84 and 161,712

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Solution

The fourth proportional to 269,137.44, 371,391.84 and 161,712 is: 223,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,137.44 : 371,391.84 = 161,712 : x
  2. Step 2: Convert to fraction form
    269,137.44/371,391.84 = 161,712/x
  3. Step 3: Cross multiply
    269,137.44x = 371,391.84 × 161,712
  4. Step 4: Simplify right side
    269,137.44x = 60,058,517,230.08
  5. Step 5: Solve for x
    x = 60,058,517,230.08/269,137.44
  6. Step 6: Final answer
    x = 223,151.85

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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.