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Finding the Fourth Proportional to 69,163.84, 103,761.12 and 19,912

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Solution

The fourth proportional to 69,163.84, 103,761.12 and 19,912 is: 29,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,163.84 : 103,761.12 = 19,912 : x
  2. Step 2: Convert to fraction form
    69,163.84/103,761.12 = 19,912/x
  3. Step 3: Cross multiply
    69,163.84x = 103,761.12 × 19,912
  4. Step 4: Simplify right side
    69,163.84x = 2,066,091,421.44
  5. Step 5: Solve for x
    x = 2,066,091,421.44/69,163.84
  6. Step 6: Final answer
    x = 29,872.42

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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.