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Finding the Fourth Proportional to 198,729, 274,246.74 and 108,084.96

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Solution

The fourth proportional to 198,729, 274,246.74 and 108,084.96 is: 149,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,729 : 274,246.74 = 108,084.96 : x
  2. Step 2: Convert to fraction form
    198,729/274,246.74 = 108,084.96/x
  3. Step 3: Cross multiply
    198,729x = 274,246.74 × 108,084.96
  4. Step 4: Simplify right side
    198,729x = 29,641,947,923.03
  5. Step 5: Solve for x
    x = 29,641,947,923.03/198,729
  6. Step 6: Final answer
    x = 149,157.64

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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.