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Finding the Fourth Proportional to 206,074.11, 309,200.10 and 111,285.42

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Solution

The fourth proportional to 206,074.11, 309,200.10 and 111,285.42 is: 166,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,074.11 : 309,200.10 = 111,285.42 : x
  2. Step 2: Convert to fraction form
    206,074.11/309,200.10 = 111,285.42/x
  3. Step 3: Cross multiply
    206,074.11x = 309,200.10 × 111,285.42
  4. Step 4: Simplify right side
    206,074.11x = 34,409,462,992.54
  5. Step 5: Solve for x
    x = 34,409,462,992.54/206,074.11
  6. Step 6: Final answer
    x = 166,976.16

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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.