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Finding the Fourth Proportional to 80,484.80, 120,728.70 and 27,896

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Solution

The fourth proportional to 80,484.80, 120,728.70 and 27,896 is: 41,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,484.80 : 120,728.70 = 27,896 : x
  2. Step 2: Convert to fraction form
    80,484.80/120,728.70 = 27,896/x
  3. Step 3: Cross multiply
    80,484.80x = 120,728.70 × 27,896
  4. Step 4: Simplify right side
    80,484.80x = 3,367,847,815.20
  5. Step 5: Solve for x
    x = 3,367,847,815.20/80,484.80
  6. Step 6: Final answer
    x = 41,844.52

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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.