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Finding the Fourth Proportional to 80,612.08, 120,918.40 and 28,022

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Solution

The fourth proportional to 80,612.08, 120,918.40 and 28,022 is: 42,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,612.08 : 120,918.40 = 28,022 : x
  2. Step 2: Convert to fraction form
    80,612.08/120,918.40 = 28,022/x
  3. Step 3: Cross multiply
    80,612.08x = 120,918.40 × 28,022
  4. Step 4: Simplify right side
    80,612.08x = 3,388,375,404.80
  5. Step 5: Solve for x
    x = 3,388,375,404.80/80,612.08
  6. Step 6: Final answer
    x = 42,033.10

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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.