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Finding the Fourth Proportional to 105,679.44, 158,286.60 and 99,856.44

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Solution

The fourth proportional to 105,679.44, 158,286.60 and 99,856.44 is: 149,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,679.44 : 158,286.60 = 99,856.44 : x
  2. Step 2: Convert to fraction form
    105,679.44/158,286.60 = 99,856.44/x
  3. Step 3: Cross multiply
    105,679.44x = 158,286.60 × 99,856.44
  4. Step 4: Simplify right side
    105,679.44x = 15,805,936,375.70
  5. Step 5: Solve for x
    x = 15,805,936,375.70/105,679.44
  6. Step 6: Final answer
    x = 149,564.91

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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.