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Finding the Fourth Proportional to 206,120.89, 308,778.67 and 142,067.65

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Solution

The fourth proportional to 206,120.89, 308,778.67 and 142,067.65 is: 212,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,120.89 : 308,778.67 = 142,067.65 : x
  2. Step 2: Convert to fraction form
    206,120.89/308,778.67 = 142,067.65/x
  3. Step 3: Cross multiply
    206,120.89x = 308,778.67 × 142,067.65
  4. Step 4: Simplify right side
    206,120.89x = 43,867,460,017.03
  5. Step 5: Solve for x
    x = 43,867,460,017.03/206,120.89
  6. Step 6: Final answer
    x = 212,823.94

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1.5x scale

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.