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Finding the Fourth Proportional to 71,163.20, 106,763.30 and 21,243.30

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Solution

The fourth proportional to 71,163.20, 106,763.30 and 21,243.30 is: 31,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,163.20 : 106,763.30 = 21,243.30 : x
  2. Step 2: Convert to fraction form
    71,163.20/106,763.30 = 21,243.30/x
  3. Step 3: Cross multiply
    71,163.20x = 106,763.30 × 21,243.30
  4. Step 4: Simplify right side
    71,163.20x = 2,268,004,704.67
  5. Step 5: Solve for x
    x = 2,268,004,704.67/71,163.20
  6. Step 6: Final answer
    x = 31,870.47

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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.