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Finding the Fourth Proportional to 200,174.82, 300,251.70 and 50,415

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Solution

The fourth proportional to 200,174.82, 300,251.70 and 50,415 is: 75,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,174.82 : 300,251.70 = 50,415 : x
  2. Step 2: Convert to fraction form
    200,174.82/300,251.70 = 50,415/x
  3. Step 3: Cross multiply
    200,174.82x = 300,251.70 × 50,415
  4. Step 4: Simplify right side
    200,174.82x = 15,137,189,455.50
  5. Step 5: Solve for x
    x = 15,137,189,455.50/200,174.82
  6. Step 6: Final answer
    x = 75,619.85

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1.5x scale

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.