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Finding the Fourth Proportional to 198,790.78, 274,310.80 and 118,202.74

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Solution

The fourth proportional to 198,790.78, 274,310.80 and 118,202.74 is: 163,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,790.78 : 274,310.80 = 118,202.74 : x
  2. Step 2: Convert to fraction form
    198,790.78/274,310.80 = 118,202.74/x
  3. Step 3: Cross multiply
    198,790.78x = 274,310.80 × 118,202.74
  4. Step 4: Simplify right side
    198,790.78x = 32,424,286,914.32
  5. Step 5: Solve for x
    x = 32,424,286,914.32/198,790.78
  6. Step 6: Final answer
    x = 163,107.60

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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.