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Finding the Fourth Proportional to 206,551.22, 309,794.02 and 80,249.23

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Solution

The fourth proportional to 206,551.22, 309,794.02 and 80,249.23 is: 120,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,551.22 : 309,794.02 = 80,249.23 : x
  2. Step 2: Convert to fraction form
    206,551.22/309,794.02 = 80,249.23/x
  3. Step 3: Cross multiply
    206,551.22x = 309,794.02 × 80,249.23
  4. Step 4: Simplify right side
    206,551.22x = 24,860,731,750.22
  5. Step 5: Solve for x
    x = 24,860,731,750.22/206,551.22
  6. Step 6: Final answer
    x = 120,361.10

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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.