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Finding the Fourth Proportional to 199,093.60, 298,755.60 and 74,447.20

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Solution

The fourth proportional to 199,093.60, 298,755.60 and 74,447.20 is: 111,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,093.60 : 298,755.60 = 74,447.20 : x
  2. Step 2: Convert to fraction form
    199,093.60/298,755.60 = 74,447.20/x
  3. Step 3: Cross multiply
    199,093.60x = 298,755.60 × 74,447.20
  4. Step 4: Simplify right side
    199,093.60x = 22,241,517,904.32
  5. Step 5: Solve for x
    x = 22,241,517,904.32/199,093.60
  6. Step 6: Final answer
    x = 111,713.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.