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Finding the Fourth Proportional to 121,324.30, 167,338.41 and 80,414.44

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Solution

The fourth proportional to 121,324.30, 167,338.41 and 80,414.44 is: 110,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,324.30 : 167,338.41 = 80,414.44 : x
  2. Step 2: Convert to fraction form
    121,324.30/167,338.41 = 80,414.44/x
  3. Step 3: Cross multiply
    121,324.30x = 167,338.41 × 80,414.44
  4. Step 4: Simplify right side
    121,324.30x = 13,456,424,530.64
  5. Step 5: Solve for x
    x = 13,456,424,530.64/121,324.30
  6. Step 6: Final answer
    x = 110,912.86

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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.