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Finding the Fourth Proportional to 200,137.20, 300,179.88 and 75,462

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Solution

The fourth proportional to 200,137.20, 300,179.88 and 75,462 is: 113,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,137.20 : 300,179.88 = 75,462 : x
  2. Step 2: Convert to fraction form
    200,137.20/300,179.88 = 75,462/x
  3. Step 3: Cross multiply
    200,137.20x = 300,179.88 × 75,462
  4. Step 4: Simplify right side
    200,137.20x = 22,652,174,104.56
  5. Step 5: Solve for x
    x = 22,652,174,104.56/200,137.20
  6. Step 6: Final answer
    x = 113,183.23

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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.