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Finding the Fourth Proportional to 199,268, 274,989.84 and 109,845.92

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Solution

The fourth proportional to 199,268, 274,989.84 and 109,845.92 is: 151,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,268 : 274,989.84 = 109,845.92 : x
  2. Step 2: Convert to fraction form
    199,268/274,989.84 = 109,845.92/x
  3. Step 3: Cross multiply
    199,268x = 274,989.84 × 109,845.92
  4. Step 4: Simplify right side
    199,268x = 30,206,511,965.45
  5. Step 5: Solve for x
    x = 30,206,511,965.45/199,268
  6. Step 6: Final answer
    x = 151,587.37

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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.