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Finding the Fourth Proportional to 262,752.88, 394,132.56 and 75,766

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Solution

The fourth proportional to 262,752.88, 394,132.56 and 75,766 is: 113,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,752.88 : 394,132.56 = 75,766 : x
  2. Step 2: Convert to fraction form
    262,752.88/394,132.56 = 75,766/x
  3. Step 3: Cross multiply
    262,752.88x = 394,132.56 × 75,766
  4. Step 4: Simplify right side
    262,752.88x = 29,861,847,540.96
  5. Step 5: Solve for x
    x = 29,861,847,540.96/262,752.88
  6. Step 6: Final answer
    x = 113,649.93

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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.