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Finding the Fourth Proportional to 275,588.10, 413,382.15 and 75,939.30

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Solution

The fourth proportional to 275,588.10, 413,382.15 and 75,939.30 is: 113,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,588.10 : 413,382.15 = 75,939.30 : x
  2. Step 2: Convert to fraction form
    275,588.10/413,382.15 = 75,939.30/x
  3. Step 3: Cross multiply
    275,588.10x = 413,382.15 × 75,939.30
  4. Step 4: Simplify right side
    275,588.10x = 31,391,951,103.50
  5. Step 5: Solve for x
    x = 31,391,951,103.50/275,588.10
  6. Step 6: Final answer
    x = 113,908.95

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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.