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Finding the Fourth Proportional to 84,105.49, 126,015.43 and 50,755.48

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Solution

The fourth proportional to 84,105.49, 126,015.43 and 50,755.48 is: 76,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,105.49 : 126,015.43 = 50,755.48 : x
  2. Step 2: Convert to fraction form
    84,105.49/126,015.43 = 50,755.48/x
  3. Step 3: Cross multiply
    84,105.49x = 126,015.43 × 50,755.48
  4. Step 4: Simplify right side
    84,105.49x = 6,395,972,753.20
  5. Step 5: Solve for x
    x = 6,395,972,753.20/84,105.49
  6. Step 6: Final answer
    x = 76,047.03

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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.