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Finding the Fourth Proportional to 206,491.89, 309,850.65 and 80,137.11

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Solution

The fourth proportional to 206,491.89, 309,850.65 and 80,137.11 is: 120,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,491.89 : 309,850.65 = 80,137.11 : x
  2. Step 2: Convert to fraction form
    206,491.89/309,850.65 = 80,137.11/x
  3. Step 3: Cross multiply
    206,491.89x = 309,850.65 × 80,137.11
  4. Step 4: Simplify right side
    206,491.89x = 24,830,535,622.62
  5. Step 5: Solve for x
    x = 24,830,535,622.62/206,491.89
  6. Step 6: Final answer
    x = 120,249.45

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1.5x scale

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.