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Finding the Fourth Proportional to 84,105.86, 126,015.98 and 50,755.86

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Solution

The fourth proportional to 84,105.86, 126,015.98 and 50,755.86 is: 76,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,105.86 : 126,015.98 = 50,755.86 : x
  2. Step 2: Convert to fraction form
    84,105.86/126,015.98 = 50,755.86/x
  3. Step 3: Cross multiply
    84,105.86x = 126,015.98 × 50,755.86
  4. Step 4: Simplify right side
    84,105.86x = 6,396,049,565.53
  5. Step 5: Solve for x
    x = 6,396,049,565.53/84,105.86
  6. Step 6: Final answer
    x = 76,047.61

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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.