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Finding the Fourth Proportional to 75,997, 113,997.12 and 26,076.88

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Solution

The fourth proportional to 75,997, 113,997.12 and 26,076.88 is: 39,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,997 : 113,997.12 = 26,076.88 : x
  2. Step 2: Convert to fraction form
    75,997/113,997.12 = 26,076.88/x
  3. Step 3: Cross multiply
    75,997x = 113,997.12 × 26,076.88
  4. Step 4: Simplify right side
    75,997x = 2,972,689,218.59
  5. Step 5: Solve for x
    x = 2,972,689,218.59/75,997
  6. Step 6: Final answer
    x = 39,115.88

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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.