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Finding the Fourth Proportional to 71,703.57, 98,949.67 and 39,871.78

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Solution

The fourth proportional to 71,703.57, 98,949.67 and 39,871.78 is: 55,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,703.57 : 98,949.67 = 39,871.78 : x
  2. Step 2: Convert to fraction form
    71,703.57/98,949.67 = 39,871.78/x
  3. Step 3: Cross multiply
    71,703.57x = 98,949.67 × 39,871.78
  4. Step 4: Simplify right side
    71,703.57x = 3,945,299,473.31
  5. Step 5: Solve for x
    x = 3,945,299,473.31/71,703.57
  6. Step 6: Final answer
    x = 55,022.36

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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.