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Finding the Fourth Proportional to 275,859.76, 413,747.52 and 131,728.72

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Solution

The fourth proportional to 275,859.76, 413,747.52 and 131,728.72 is: 197,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,859.76 : 413,747.52 = 131,728.72 : x
  2. Step 2: Convert to fraction form
    275,859.76/413,747.52 = 131,728.72/x
  3. Step 3: Cross multiply
    275,859.76x = 413,747.52 × 131,728.72
  4. Step 4: Simplify right side
    275,859.76x = 54,502,431,212.77
  5. Step 5: Solve for x
    x = 54,502,431,212.77/275,859.76
  6. Step 6: Final answer
    x = 197,572.97

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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.