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Finding the Fourth Proportional to 206,190, 284,542.74 and 120,200.04

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Solution

The fourth proportional to 206,190, 284,542.74 and 120,200.04 is: 165,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,190 : 284,542.74 = 120,200.04 : x
  2. Step 2: Convert to fraction form
    206,190/284,542.74 = 120,200.04/x
  3. Step 3: Cross multiply
    206,190x = 284,542.74 × 120,200.04
  4. Step 4: Simplify right side
    206,190x = 34,202,048,729.71
  5. Step 5: Solve for x
    x = 34,202,048,729.71/206,190
  6. Step 6: Final answer
    x = 165,876.37

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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.