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Finding the Fourth Proportional to 71,721.24, 98,978.82 and 39,889.46

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Solution

The fourth proportional to 71,721.24, 98,978.82 and 39,889.46 is: 55,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,721.24 : 98,978.82 = 39,889.46 : x
  2. Step 2: Convert to fraction form
    71,721.24/98,978.82 = 39,889.46/x
  3. Step 3: Cross multiply
    71,721.24x = 98,978.82 × 39,889.46
  4. Step 4: Simplify right side
    71,721.24x = 3,948,211,681.24
  5. Step 5: Solve for x
    x = 3,948,211,681.24/71,721.24
  6. Step 6: Final answer
    x = 55,049.41

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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.