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Finding the Fourth Proportional to 205,940.70, 308,911.05 and 126,224.55

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Solution

The fourth proportional to 205,940.70, 308,911.05 and 126,224.55 is: 189,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,940.70 : 308,911.05 = 126,224.55 : x
  2. Step 2: Convert to fraction form
    205,940.70/308,911.05 = 126,224.55/x
  3. Step 3: Cross multiply
    205,940.70x = 308,911.05 × 126,224.55
  4. Step 4: Simplify right side
    205,940.70x = 38,992,158,276.28
  5. Step 5: Solve for x
    x = 38,992,158,276.28/205,940.70
  6. Step 6: Final answer
    x = 189,336.83

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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.