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Finding the Fourth Proportional to 198,408.72, 273,654 and 137,949.11

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Solution

The fourth proportional to 198,408.72, 273,654 and 137,949.11 is: 190,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,408.72 : 273,654 = 137,949.11 : x
  2. Step 2: Convert to fraction form
    198,408.72/273,654 = 137,949.11/x
  3. Step 3: Cross multiply
    198,408.72x = 273,654 × 137,949.11
  4. Step 4: Simplify right side
    198,408.72x = 37,750,325,405.87
  5. Step 5: Solve for x
    x = 37,750,325,405.87/198,408.72
  6. Step 6: Final answer
    x = 190,265.45

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1.5x scale

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.