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Finding the Fourth Proportional to 71,147.01, 106,736.36 and 21,227.97

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Solution

The fourth proportional to 71,147.01, 106,736.36 and 21,227.97 is: 31,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,147.01 : 106,736.36 = 21,227.97 : x
  2. Step 2: Convert to fraction form
    71,147.01/106,736.36 = 21,227.97/x
  3. Step 3: Cross multiply
    71,147.01x = 106,736.36 × 21,227.97
  4. Step 4: Simplify right side
    71,147.01x = 2,265,796,247.99
  5. Step 5: Solve for x
    x = 2,265,796,247.99/71,147.01
  6. Step 6: Final answer
    x = 31,846.68

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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.