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Finding the Fourth Proportional to 71,996.31, 107,982.09 and 19,393.47

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Solution

The fourth proportional to 71,996.31, 107,982.09 and 19,393.47 is: 29,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,996.31 : 107,982.09 = 19,393.47 : x
  2. Step 2: Convert to fraction form
    71,996.31/107,982.09 = 19,393.47/x
  3. Step 3: Cross multiply
    71,996.31x = 107,982.09 × 19,393.47
  4. Step 4: Simplify right side
    71,996.31x = 2,094,147,422.95
  5. Step 5: Solve for x
    x = 2,094,147,422.95/71,996.31
  6. Step 6: Final answer
    x = 29,086.87

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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.