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Finding the Fourth Proportional to 187,882.26, 259,293.87 and 103,015.86

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Solution

The fourth proportional to 187,882.26, 259,293.87 and 103,015.86 is: 142,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,882.26 : 259,293.87 = 103,015.86 : x
  2. Step 2: Convert to fraction form
    187,882.26/259,293.87 = 103,015.86/x
  3. Step 3: Cross multiply
    187,882.26x = 259,293.87 × 103,015.86
  4. Step 4: Simplify right side
    187,882.26x = 26,711,381,010.78
  5. Step 5: Solve for x
    x = 26,711,381,010.78/187,882.26
  6. Step 6: Final answer
    x = 142,170.85

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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.