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Finding the Fourth Proportional to 80,983.20, 121,474.80 and 77,872.80

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Solution

The fourth proportional to 80,983.20, 121,474.80 and 77,872.80 is: 116,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,983.20 : 121,474.80 = 77,872.80 : x
  2. Step 2: Convert to fraction form
    80,983.20/121,474.80 = 77,872.80/x
  3. Step 3: Cross multiply
    80,983.20x = 121,474.80 × 77,872.80
  4. Step 4: Simplify right side
    80,983.20x = 9,459,582,805.44
  5. Step 5: Solve for x
    x = 9,459,582,805.44/80,983.20
  6. Step 6: Final answer
    x = 116,809.20

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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.