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Finding the Fourth Proportional to 83,662.44, 125,512.38 and 28,257

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Solution

The fourth proportional to 83,662.44, 125,512.38 and 28,257 is: 42,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,662.44 : 125,512.38 = 28,257 : x
  2. Step 2: Convert to fraction form
    83,662.44/125,512.38 = 28,257/x
  3. Step 3: Cross multiply
    83,662.44x = 125,512.38 × 28,257
  4. Step 4: Simplify right side
    83,662.44x = 3,546,603,321.66
  5. Step 5: Solve for x
    x = 3,546,603,321.66/83,662.44
  6. Step 6: Final answer
    x = 42,391.82

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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.