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Finding the Fourth Proportional to 71,997.60, 107,982.54 and 19,393.86

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Solution

The fourth proportional to 71,997.60, 107,982.54 and 19,393.86 is: 29,087.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,997.60 : 107,982.54 = 19,393.86 : x
  2. Step 2: Convert to fraction form
    71,997.60/107,982.54 = 19,393.86/x
  3. Step 3: Cross multiply
    71,997.60x = 107,982.54 × 19,393.86
  4. Step 4: Simplify right side
    71,997.60x = 2,094,198,263.20
  5. Step 5: Solve for x
    x = 2,094,198,263.20/71,997.60
  6. Step 6: Final answer
    x = 29,087.06

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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.