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Finding the Fourth Proportional to 199,092.70, 274,728 and 122,599.54

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Solution

The fourth proportional to 199,092.70, 274,728 and 122,599.54 is: 169,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,092.70 : 274,728 = 122,599.54 : x
  2. Step 2: Convert to fraction form
    199,092.70/274,728 = 122,599.54/x
  3. Step 3: Cross multiply
    199,092.70x = 274,728 × 122,599.54
  4. Step 4: Simplify right side
    199,092.70x = 33,681,526,425.12
  5. Step 5: Solve for x
    x = 33,681,526,425.12/199,092.70
  6. Step 6: Final answer
    x = 169,175.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.