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Finding the Fourth Proportional to 199,817.70, 275,745.20 and 109,171.72

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Solution

The fourth proportional to 199,817.70, 275,745.20 and 109,171.72 is: 150,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,817.70 : 275,745.20 = 109,171.72 : x
  2. Step 2: Convert to fraction form
    199,817.70/275,745.20 = 109,171.72/x
  3. Step 3: Cross multiply
    199,817.70x = 275,745.20 × 109,171.72
  4. Step 4: Simplify right side
    199,817.70x = 30,103,576,919.50
  5. Step 5: Solve for x
    x = 30,103,576,919.50/199,817.70
  6. Step 6: Final answer
    x = 150,655.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.