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Finding the Fourth Proportional to 200,138.70, 300,182.13 and 75,463.50

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Solution

The fourth proportional to 200,138.70, 300,182.13 and 75,463.50 is: 113,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,138.70 : 300,182.13 = 75,463.50 : x
  2. Step 2: Convert to fraction form
    200,138.70/300,182.13 = 75,463.50/x
  3. Step 3: Cross multiply
    200,138.70x = 300,182.13 × 75,463.50
  4. Step 4: Simplify right side
    200,138.70x = 22,652,794,167.26
  5. Step 5: Solve for x
    x = 22,652,794,167.26/200,138.70
  6. Step 6: Final answer
    x = 113,185.48

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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.