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Finding the Fourth Proportional to 206,678.92, 285,198.32 and 120,645.40

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Solution

The fourth proportional to 206,678.92, 285,198.32 and 120,645.40 is: 166,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,678.92 : 285,198.32 = 120,645.40 : x
  2. Step 2: Convert to fraction form
    206,678.92/285,198.32 = 120,645.40/x
  3. Step 3: Cross multiply
    206,678.92x = 285,198.32 × 120,645.40
  4. Step 4: Simplify right side
    206,678.92x = 34,407,865,395.73
  5. Step 5: Solve for x
    x = 34,407,865,395.73/206,678.92
  6. Step 6: Final answer
    x = 166,479.80

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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.