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Finding the Fourth Proportional to 275,517.28, 413,221.51 and 75,786.13

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Solution

The fourth proportional to 275,517.28, 413,221.51 and 75,786.13 is: 113,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,517.28 : 413,221.51 = 75,786.13 : x
  2. Step 2: Convert to fraction form
    275,517.28/413,221.51 = 75,786.13/x
  3. Step 3: Cross multiply
    275,517.28x = 413,221.51 × 75,786.13
  4. Step 4: Simplify right side
    275,517.28x = 31,316,457,853.14
  5. Step 5: Solve for x
    x = 31,316,457,853.14/275,517.28
  6. Step 6: Final answer
    x = 113,664.23

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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.