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Finding the Fourth Proportional to 207,662.26, 311,519.20 and 81,286.06

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Solution

The fourth proportional to 207,662.26, 311,519.20 and 81,286.06 is: 121,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,662.26 : 311,519.20 = 81,286.06 : x
  2. Step 2: Convert to fraction form
    207,662.26/311,519.20 = 81,286.06/x
  3. Step 3: Cross multiply
    207,662.26x = 311,519.20 × 81,286.06
  4. Step 4: Simplify right side
    207,662.26x = 25,322,168,382.35
  5. Step 5: Solve for x
    x = 25,322,168,382.35/207,662.26
  6. Step 6: Final answer
    x = 121,939.19

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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.