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Finding the Fourth Proportional to 198,855.75, 274,420.98 and 109,431.75

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Solution

The fourth proportional to 198,855.75, 274,420.98 and 109,431.75 is: 151,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,855.75 : 274,420.98 = 109,431.75 : x
  2. Step 2: Convert to fraction form
    198,855.75/274,420.98 = 109,431.75/x
  3. Step 3: Cross multiply
    198,855.75x = 274,420.98 × 109,431.75
  4. Step 4: Simplify right side
    198,855.75x = 30,030,368,078.12
  5. Step 5: Solve for x
    x = 30,030,368,078.12/198,855.75
  6. Step 6: Final answer
    x = 151,015.84

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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.