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Finding the Fourth Proportional to 207,996.56, 311,736 and 101,293.28

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Solution

The fourth proportional to 207,996.56, 311,736 and 101,293.28 is: 151,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,996.56 : 311,736 = 101,293.28 : x
  2. Step 2: Convert to fraction form
    207,996.56/311,736 = 101,293.28/x
  3. Step 3: Cross multiply
    207,996.56x = 311,736 × 101,293.28
  4. Step 4: Simplify right side
    207,996.56x = 31,576,761,934.08
  5. Step 5: Solve for x
    x = 31,576,761,934.08/207,996.56
  6. Step 6: Final answer
    x = 151,813.87

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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.