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Finding the Fourth Proportional to 80,656.75, 120,985.26 and 31,408.75

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Solution

The fourth proportional to 80,656.75, 120,985.26 and 31,408.75 is: 47,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,656.75 : 120,985.26 = 31,408.75 : x
  2. Step 2: Convert to fraction form
    80,656.75/120,985.26 = 31,408.75/x
  3. Step 3: Cross multiply
    80,656.75x = 120,985.26 × 31,408.75
  4. Step 4: Simplify right side
    80,656.75x = 3,799,995,785.03
  5. Step 5: Solve for x
    x = 3,799,995,785.03/80,656.75
  6. Step 6: Final answer
    x = 47,113.18

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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.