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Finding the Fourth Proportional to 80,640, 120,960 and 22,272

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Solution

The fourth proportional to 80,640, 120,960 and 22,272 is: 33,408

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,640 : 120,960 = 22,272 : x
  2. Step 2: Convert to fraction form
    80,640/120,960 = 22,272/x
  3. Step 3: Cross multiply
    80,640x = 120,960 × 22,272
  4. Step 4: Simplify right side
    80,640x = 2,694,021,120
  5. Step 5: Solve for x
    x = 2,694,021,120/80,640
  6. Step 6: Final answer
    x = 33,408

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.