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Finding the Fourth Proportional to 275,013.73, 412,520.95 and 75,335.87

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Solution

The fourth proportional to 275,013.73, 412,520.95 and 75,335.87 is: 113,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,013.73 : 412,520.95 = 75,335.87 : x
  2. Step 2: Convert to fraction form
    275,013.73/412,520.95 = 75,335.87/x
  3. Step 3: Cross multiply
    275,013.73x = 412,520.95 × 75,335.87
  4. Step 4: Simplify right side
    275,013.73x = 31,077,625,786.95
  5. Step 5: Solve for x
    x = 31,077,625,786.95/275,013.73
  6. Step 6: Final answer
    x = 113,003.91

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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.