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Finding the Fourth Proportional to 80,483.80, 120,727.20 and 27,895

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Solution

The fourth proportional to 80,483.80, 120,727.20 and 27,895 is: 41,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,483.80 : 120,727.20 = 27,895 : x
  2. Step 2: Convert to fraction form
    80,483.80/120,727.20 = 27,895/x
  3. Step 3: Cross multiply
    80,483.80x = 120,727.20 × 27,895
  4. Step 4: Simplify right side
    80,483.80x = 3,367,685,244
  5. Step 5: Solve for x
    x = 3,367,685,244/80,483.80
  6. Step 6: Final answer
    x = 41,843.02

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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.