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Finding the Fourth Proportional to 262,671.40, 394,034.46 and 85,171.24

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Solution

The fourth proportional to 262,671.40, 394,034.46 and 85,171.24 is: 127,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,671.40 : 394,034.46 = 85,171.24 : x
  2. Step 2: Convert to fraction form
    262,671.40/394,034.46 = 85,171.24/x
  3. Step 3: Cross multiply
    262,671.40x = 394,034.46 × 85,171.24
  4. Step 4: Simplify right side
    262,671.40x = 33,560,403,560.93
  5. Step 5: Solve for x
    x = 33,560,403,560.93/262,671.40
  6. Step 6: Final answer
    x = 127,765.73

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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.