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Finding the Fourth Proportional to 80,463.60, 120,738.60 and 33,721.20

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Solution

The fourth proportional to 80,463.60, 120,738.60 and 33,721.20 is: 50,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,463.60 : 120,738.60 = 33,721.20 : x
  2. Step 2: Convert to fraction form
    80,463.60/120,738.60 = 33,721.20/x
  3. Step 3: Cross multiply
    80,463.60x = 120,738.60 × 33,721.20
  4. Step 4: Simplify right side
    80,463.60x = 4,071,450,478.32
  5. Step 5: Solve for x
    x = 4,071,450,478.32/80,463.60
  6. Step 6: Final answer
    x = 50,599.90

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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.