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Finding the Fourth Proportional to 80,431.88, 120,644.78 and 24,270.50

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Solution

The fourth proportional to 80,431.88, 120,644.78 and 24,270.50 is: 36,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,431.88 : 120,644.78 = 24,270.50 : x
  2. Step 2: Convert to fraction form
    80,431.88/120,644.78 = 24,270.50/x
  3. Step 3: Cross multiply
    80,431.88x = 120,644.78 × 24,270.50
  4. Step 4: Simplify right side
    80,431.88x = 2,928,108,408.41
  5. Step 5: Solve for x
    x = 2,928,108,408.41/80,431.88
  6. Step 6: Final answer
    x = 36,404.83

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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.