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Finding the Fourth Proportional to 275,645.10, 413,443.35 and 75,947.70

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Solution

The fourth proportional to 275,645.10, 413,443.35 and 75,947.70 is: 113,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,645.10 : 413,443.35 = 75,947.70 : x
  2. Step 2: Convert to fraction form
    275,645.10/413,443.35 = 75,947.70/x
  3. Step 3: Cross multiply
    275,645.10x = 413,443.35 × 75,947.70
  4. Step 4: Simplify right side
    275,645.10x = 31,400,071,512.80
  5. Step 5: Solve for x
    x = 31,400,071,512.80/275,645.10
  6. Step 6: Final answer
    x = 113,914.85

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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.