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Finding the Fourth Proportional to 187,679.78, 258,933.74 and 107,049.27

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Solution

The fourth proportional to 187,679.78, 258,933.74 and 107,049.27 is: 147,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,679.78 : 258,933.74 = 107,049.27 : x
  2. Step 2: Convert to fraction form
    187,679.78/258,933.74 = 107,049.27/x
  3. Step 3: Cross multiply
    187,679.78x = 258,933.74 × 107,049.27
  4. Step 4: Simplify right side
    187,679.78x = 27,718,667,310.12
  5. Step 5: Solve for x
    x = 27,718,667,310.12/187,679.78
  6. Step 6: Final answer
    x = 147,691.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.