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Finding the Fourth Proportional to 80,115.53, 120,175.74 and 27,524.25

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Solution

The fourth proportional to 80,115.53, 120,175.74 and 27,524.25 is: 41,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,115.53 : 120,175.74 = 27,524.25 : x
  2. Step 2: Convert to fraction form
    80,115.53/120,175.74 = 27,524.25/x
  3. Step 3: Cross multiply
    80,115.53x = 120,175.74 × 27,524.25
  4. Step 4: Simplify right side
    80,115.53x = 3,307,747,111.70
  5. Step 5: Solve for x
    x = 3,307,747,111.70/80,115.53
  6. Step 6: Final answer
    x = 41,287.22

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1.5x scale

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.