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Finding the Fourth Proportional to 262,829.88, 394,247.70 and 75,843

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Solution

The fourth proportional to 262,829.88, 394,247.70 and 75,843 is: 113,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,829.88 : 394,247.70 = 75,843 : x
  2. Step 2: Convert to fraction form
    262,829.88/394,247.70 = 75,843/x
  3. Step 3: Cross multiply
    262,829.88x = 394,247.70 × 75,843
  4. Step 4: Simplify right side
    262,829.88x = 29,900,928,311.10
  5. Step 5: Solve for x
    x = 29,900,928,311.10/262,829.88
  6. Step 6: Final answer
    x = 113,765.33

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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.