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Finding the Fourth Proportional to 200,771.88, 301,163.90 and 51,012.20

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Solution

The fourth proportional to 200,771.88, 301,163.90 and 51,012.20 is: 76,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,771.88 : 301,163.90 = 51,012.20 : x
  2. Step 2: Convert to fraction form
    200,771.88/301,163.90 = 51,012.20/x
  3. Step 3: Cross multiply
    200,771.88x = 301,163.90 × 51,012.20
  4. Step 4: Simplify right side
    200,771.88x = 15,363,031,338.70
  5. Step 5: Solve for x
    x = 15,363,031,338.70/200,771.88
  6. Step 6: Final answer
    x = 76,519.84

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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.