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Finding the Fourth Proportional to 80,583.60, 120,832.20 and 33,783.60

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Solution

The fourth proportional to 80,583.60, 120,832.20 and 33,783.60 is: 50,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,583.60 : 120,832.20 = 33,783.60 : x
  2. Step 2: Convert to fraction form
    80,583.60/120,832.20 = 33,783.60/x
  3. Step 3: Cross multiply
    80,583.60x = 120,832.20 × 33,783.60
  4. Step 4: Simplify right side
    80,583.60x = 4,082,146,711.92
  5. Step 5: Solve for x
    x = 4,082,146,711.92/80,583.60
  6. Step 6: Final answer
    x = 50,657.29

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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.