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Finding the Fourth Proportional to 198,678.93, 274,173.01 and 108,034.12

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Solution

The fourth proportional to 198,678.93, 274,173.01 and 108,034.12 is: 149,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,678.93 : 274,173.01 = 108,034.12 : x
  2. Step 2: Convert to fraction form
    198,678.93/274,173.01 = 108,034.12/x
  3. Step 3: Cross multiply
    198,678.93x = 274,173.01 × 108,034.12
  4. Step 4: Simplify right side
    198,678.93x = 29,620,039,863.10
  5. Step 5: Solve for x
    x = 29,620,039,863.10/198,678.93
  6. Step 6: Final answer
    x = 149,084.96

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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.