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Finding the Fourth Proportional to 248,469, 372,761.82 and 82,257

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Solution

The fourth proportional to 248,469, 372,761.82 and 82,257 is: 123,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,469 : 372,761.82 = 82,257 : x
  2. Step 2: Convert to fraction form
    248,469/372,761.82 = 82,257/x
  3. Step 3: Cross multiply
    248,469x = 372,761.82 × 82,257
  4. Step 4: Simplify right side
    248,469x = 30,662,269,027.74
  5. Step 5: Solve for x
    x = 30,662,269,027.74/248,469
  6. Step 6: Final answer
    x = 123,404.81

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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.