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Finding the Fourth Proportional to 275,108.51, 412,635.11 and 75,448.97

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Solution

The fourth proportional to 275,108.51, 412,635.11 and 75,448.97 is: 113,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,108.51 : 412,635.11 = 75,448.97 : x
  2. Step 2: Convert to fraction form
    275,108.51/412,635.11 = 75,448.97/x
  3. Step 3: Cross multiply
    275,108.51x = 412,635.11 × 75,448.97
  4. Step 4: Simplify right side
    275,108.51x = 31,132,891,594.92
  5. Step 5: Solve for x
    x = 31,132,891,594.92/275,108.51
  6. Step 6: Final answer
    x = 113,165.86

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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.