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Finding the Fourth Proportional to 71,571.70, 107,138.85 and 55,825.30

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Solution

The fourth proportional to 71,571.70, 107,138.85 and 55,825.30 is: 83,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,571.70 : 107,138.85 = 55,825.30 : x
  2. Step 2: Convert to fraction form
    71,571.70/107,138.85 = 55,825.30/x
  3. Step 3: Cross multiply
    71,571.70x = 107,138.85 × 55,825.30
  4. Step 4: Simplify right side
    71,571.70x = 5,981,058,442.91
  5. Step 5: Solve for x
    x = 5,981,058,442.91/71,571.70
  6. Step 6: Final answer
    x = 83,567.37

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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.