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Finding the Fourth Proportional to 275,721.53, 413,001.05 and 126,087.74

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Solution

The fourth proportional to 275,721.53, 413,001.05 and 126,087.74 is: 188,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,721.53 : 413,001.05 = 126,087.74 : x
  2. Step 2: Convert to fraction form
    275,721.53/413,001.05 = 126,087.74/x
  3. Step 3: Cross multiply
    275,721.53x = 413,001.05 × 126,087.74
  4. Step 4: Simplify right side
    275,721.53x = 52,074,366,947.12
  5. Step 5: Solve for x
    x = 52,074,366,947.12/275,721.53
  6. Step 6: Final answer
    x = 188,865.80

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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.