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Finding the Fourth Proportional to 198,627.87, 274,103.16 and 107,986.08

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Solution

The fourth proportional to 198,627.87, 274,103.16 and 107,986.08 is: 149,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,627.87 : 274,103.16 = 107,986.08 : x
  2. Step 2: Convert to fraction form
    198,627.87/274,103.16 = 107,986.08/x
  3. Step 3: Cross multiply
    198,627.87x = 274,103.16 × 107,986.08
  4. Step 4: Simplify right side
    198,627.87x = 29,599,325,764.01
  5. Step 5: Solve for x
    x = 29,599,325,764.01/198,627.87
  6. Step 6: Final answer
    x = 149,019.00

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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.