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Finding the Fourth Proportional to 180,219.84, 270,347.04 and 80,376

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Solution

The fourth proportional to 180,219.84, 270,347.04 and 80,376 is: 120,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,219.84 : 270,347.04 = 80,376 : x
  2. Step 2: Convert to fraction form
    180,219.84/270,347.04 = 80,376/x
  3. Step 3: Cross multiply
    180,219.84x = 270,347.04 × 80,376
  4. Step 4: Simplify right side
    180,219.84x = 21,729,413,687.04
  5. Step 5: Solve for x
    x = 21,729,413,687.04/180,219.84
  6. Step 6: Final answer
    x = 120,571.71

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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.