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Finding the Fourth Proportional to 275,219.88, 412,826.08 and 75,540

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Solution

The fourth proportional to 275,219.88, 412,826.08 and 75,540 is: 113,308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,219.88 : 412,826.08 = 75,540 : x
  2. Step 2: Convert to fraction form
    275,219.88/412,826.08 = 75,540/x
  3. Step 3: Cross multiply
    275,219.88x = 412,826.08 × 75,540
  4. Step 4: Simplify right side
    275,219.88x = 31,184,882,083.20
  5. Step 5: Solve for x
    x = 31,184,882,083.20/275,219.88
  6. Step 6: Final answer
    x = 113,308.97

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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.