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Finding the Fourth Proportional to 80,064.16, 120,067.44 and 27,460

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Solution

The fourth proportional to 80,064.16, 120,067.44 and 27,460 is: 41,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,064.16 : 120,067.44 = 27,460 : x
  2. Step 2: Convert to fraction form
    80,064.16/120,067.44 = 27,460/x
  3. Step 3: Cross multiply
    80,064.16x = 120,067.44 × 27,460
  4. Step 4: Simplify right side
    80,064.16x = 3,297,051,902.40
  5. Step 5: Solve for x
    x = 3,297,051,902.40/80,064.16
  6. Step 6: Final answer
    x = 41,180.12

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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.