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Finding the Fourth Proportional to 87,408.96, 131,100.48 and 31,992

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Solution

The fourth proportional to 87,408.96, 131,100.48 and 31,992 is: 47,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,408.96 : 131,100.48 = 31,992 : x
  2. Step 2: Convert to fraction form
    87,408.96/131,100.48 = 31,992/x
  3. Step 3: Cross multiply
    87,408.96x = 131,100.48 × 31,992
  4. Step 4: Simplify right side
    87,408.96x = 4,194,166,556.16
  5. Step 5: Solve for x
    x = 4,194,166,556.16/87,408.96
  6. Step 6: Final answer
    x = 47,983.26

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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.