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Finding the Fourth Proportional to 206,469.10, 309,626.85 and 81,784.30

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Solution

The fourth proportional to 206,469.10, 309,626.85 and 81,784.30 is: 122,646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469.10 : 309,626.85 = 81,784.30 : x
  2. Step 2: Convert to fraction form
    206,469.10/309,626.85 = 81,784.30/x
  3. Step 3: Cross multiply
    206,469.10x = 309,626.85 × 81,784.30
  4. Step 4: Simplify right side
    206,469.10x = 25,322,615,188.46
  5. Step 5: Solve for x
    x = 25,322,615,188.46/206,469.10
  6. Step 6: Final answer
    x = 122,646.03

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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.