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Finding the Fourth Proportional to 172,081.73, 258,286.84 and 105,651.61

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Solution

The fourth proportional to 172,081.73, 258,286.84 and 105,651.61 is: 158,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,081.73 : 258,286.84 = 105,651.61 : x
  2. Step 2: Convert to fraction form
    172,081.73/258,286.84 = 105,651.61/x
  3. Step 3: Cross multiply
    172,081.73x = 258,286.84 × 105,651.61
  4. Step 4: Simplify right side
    172,081.73x = 27,288,419,577.97
  5. Step 5: Solve for x
    x = 27,288,419,577.97/172,081.73
  6. Step 6: Final answer
    x = 158,578.25

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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.