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Finding the Fourth Proportional to 206,023.80, 309,083.62 and 63,861.54

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Solution

The fourth proportional to 206,023.80, 309,083.62 and 63,861.54 is: 95,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,023.80 : 309,083.62 = 63,861.54 : x
  2. Step 2: Convert to fraction form
    206,023.80/309,083.62 = 63,861.54/x
  3. Step 3: Cross multiply
    206,023.80x = 309,083.62 × 63,861.54
  4. Step 4: Simplify right side
    206,023.80x = 19,738,555,961.97
  5. Step 5: Solve for x
    x = 19,738,555,961.97/206,023.80
  6. Step 6: Final answer
    x = 95,807.16

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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.