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Finding the Fourth Proportional to 84,105.99, 126,016.17 and 50,755.98

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Solution

The fourth proportional to 84,105.99, 126,016.17 and 50,755.98 is: 76,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,105.99 : 126,016.17 = 50,755.98 : x
  2. Step 2: Convert to fraction form
    84,105.99/126,016.17 = 50,755.98/x
  3. Step 3: Cross multiply
    84,105.99x = 126,016.17 × 50,755.98
  4. Step 4: Simplify right side
    84,105.99x = 6,396,074,204.20
  5. Step 5: Solve for x
    x = 6,396,074,204.20/84,105.99
  6. Step 6: Final answer
    x = 76,047.78

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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.