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Finding the Fourth Proportional to 177,815.60, 266,334.60 and 138,060.80

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Solution

The fourth proportional to 177,815.60, 266,334.60 and 138,060.80 is: 206,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,815.60 : 266,334.60 = 138,060.80 : x
  2. Step 2: Convert to fraction form
    177,815.60/266,334.60 = 138,060.80/x
  3. Step 3: Cross multiply
    177,815.60x = 266,334.60 × 138,060.80
  4. Step 4: Simplify right side
    177,815.60x = 36,770,367,943.68
  5. Step 5: Solve for x
    x = 36,770,367,943.68/177,815.60
  6. Step 6: Final answer
    x = 206,789.33

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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.