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Finding the Fourth Proportional to 275,340.87, 413,015.86 and 75,660.02

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Solution

The fourth proportional to 275,340.87, 413,015.86 and 75,660.02 is: 113,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,340.87 : 413,015.86 = 75,660.02 : x
  2. Step 2: Convert to fraction form
    275,340.87/413,015.86 = 75,660.02/x
  3. Step 3: Cross multiply
    275,340.87x = 413,015.86 × 75,660.02
  4. Step 4: Simplify right side
    275,340.87x = 31,248,790,129.44
  5. Step 5: Solve for x
    x = 31,248,790,129.44/275,340.87
  6. Step 6: Final answer
    x = 113,491.29

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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.