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Finding the Fourth Proportional to 71,474.50, 98,635.27 and 39,643.48

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Solution

The fourth proportional to 71,474.50, 98,635.27 and 39,643.48 is: 54,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,474.50 : 98,635.27 = 39,643.48 : x
  2. Step 2: Convert to fraction form
    71,474.50/98,635.27 = 39,643.48/x
  3. Step 3: Cross multiply
    71,474.50x = 98,635.27 × 39,643.48
  4. Step 4: Simplify right side
    71,474.50x = 3,910,245,353.54
  5. Step 5: Solve for x
    x = 3,910,245,353.54/71,474.50
  6. Step 6: Final answer
    x = 54,708.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.