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Finding the Fourth Proportional to 275,111.88, 412,640.16 and 75,452.34

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Solution

The fourth proportional to 275,111.88, 412,640.16 and 75,452.34 is: 113,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,111.88 : 412,640.16 = 75,452.34 : x
  2. Step 2: Convert to fraction form
    275,111.88/412,640.16 = 75,452.34/x
  3. Step 3: Cross multiply
    275,111.88x = 412,640.16 × 75,452.34
  4. Step 4: Simplify right side
    275,111.88x = 31,134,665,649.97
  5. Step 5: Solve for x
    x = 31,134,665,649.97/275,111.88
  6. Step 6: Final answer
    x = 113,170.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.