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Finding the Fourth Proportional to 206,191, 284,544.12 and 120,201.04

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Solution

The fourth proportional to 206,191, 284,544.12 and 120,201.04 is: 165,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,191 : 284,544.12 = 120,201.04 : x
  2. Step 2: Convert to fraction form
    206,191/284,544.12 = 120,201.04/x
  3. Step 3: Cross multiply
    206,191x = 284,544.12 × 120,201.04
  4. Step 4: Simplify right side
    206,191x = 34,202,499,149.88
  5. Step 5: Solve for x
    x = 34,202,499,149.88/206,191
  6. Step 6: Final answer
    x = 165,877.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.