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Finding the Fourth Proportional to 71,338.90, 106,983.10 and 20,727.40

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Solution

The fourth proportional to 71,338.90, 106,983.10 and 20,727.40 is: 31,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,338.90 : 106,983.10 = 20,727.40 : x
  2. Step 2: Convert to fraction form
    71,338.90/106,983.10 = 20,727.40/x
  3. Step 3: Cross multiply
    71,338.90x = 106,983.10 × 20,727.40
  4. Step 4: Simplify right side
    71,338.90x = 2,217,481,506.94
  5. Step 5: Solve for x
    x = 2,217,481,506.94/71,338.90
  6. Step 6: Final answer
    x = 31,083.76

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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.