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Finding the Fourth Proportional to 71,182.80, 106,791.21 and 21,266.96

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Solution

The fourth proportional to 71,182.80, 106,791.21 and 21,266.96 is: 31,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,182.80 : 106,791.21 = 21,266.96 : x
  2. Step 2: Convert to fraction form
    71,182.80/106,791.21 = 21,266.96/x
  3. Step 3: Cross multiply
    71,182.80x = 106,791.21 × 21,266.96
  4. Step 4: Simplify right side
    71,182.80x = 2,271,123,857.47
  5. Step 5: Solve for x
    x = 2,271,123,857.47/71,182.80
  6. Step 6: Final answer
    x = 31,905.51

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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.