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Finding the Fourth Proportional to 71,161.70, 106,761.03 and 21,241.80

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Solution

The fourth proportional to 71,161.70, 106,761.03 and 21,241.80 is: 31,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,161.70 : 106,761.03 = 21,241.80 : x
  2. Step 2: Convert to fraction form
    71,161.70/106,761.03 = 21,241.80/x
  3. Step 3: Cross multiply
    71,161.70x = 106,761.03 × 21,241.80
  4. Step 4: Simplify right side
    71,161.70x = 2,267,796,447.05
  5. Step 5: Solve for x
    x = 2,267,796,447.05/71,161.70
  6. Step 6: Final answer
    x = 31,868.22

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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.