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Finding the Fourth Proportional to 275,755.18, 413,633.09 and 86,216.54

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Solution

The fourth proportional to 275,755.18, 413,633.09 and 86,216.54 is: 129,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,755.18 : 413,633.09 = 86,216.54 : x
  2. Step 2: Convert to fraction form
    275,755.18/413,633.09 = 86,216.54/x
  3. Step 3: Cross multiply
    275,755.18x = 413,633.09 × 86,216.54
  4. Step 4: Simplify right side
    275,755.18x = 35,662,011,996.68
  5. Step 5: Solve for x
    x = 35,662,011,996.68/275,755.18
  6. Step 6: Final answer
    x = 129,324.90

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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.