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Finding the Fourth Proportional to 71,708.36, 98,949.96 and 39,872.12

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Solution

The fourth proportional to 71,708.36, 98,949.96 and 39,872.12 is: 55,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,708.36 : 98,949.96 = 39,872.12 : x
  2. Step 2: Convert to fraction form
    71,708.36/98,949.96 = 39,872.12/x
  3. Step 3: Cross multiply
    71,708.36x = 98,949.96 × 39,872.12
  4. Step 4: Simplify right side
    71,708.36x = 3,945,344,679.12
  5. Step 5: Solve for x
    x = 3,945,344,679.12/71,708.36
  6. Step 6: Final answer
    x = 55,019.31

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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.