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Finding the Fourth Proportional to 83,115.64, 125,234.48 and 68,648.64

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Solution

The fourth proportional to 83,115.64, 125,234.48 and 68,648.64 is: 103,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,115.64 : 125,234.48 = 68,648.64 : x
  2. Step 2: Convert to fraction form
    83,115.64/125,234.48 = 68,648.64/x
  3. Step 3: Cross multiply
    83,115.64x = 125,234.48 × 68,648.64
  4. Step 4: Simplify right side
    83,115.64x = 8,597,176,733.11
  5. Step 5: Solve for x
    x = 8,597,176,733.11/83,115.64
  6. Step 6: Final answer
    x = 103,436.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.