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Finding the Fourth Proportional to 199,259.75, 298,893.74 and 80,850.11

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Solution

The fourth proportional to 199,259.75, 298,893.74 and 80,850.11 is: 121,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,259.75 : 298,893.74 = 80,850.11 : x
  2. Step 2: Convert to fraction form
    199,259.75/298,893.74 = 80,850.11/x
  3. Step 3: Cross multiply
    199,259.75x = 298,893.74 × 80,850.11
  4. Step 4: Simplify right side
    199,259.75x = 24,165,589,858.59
  5. Step 5: Solve for x
    x = 24,165,589,858.59/199,259.75
  6. Step 6: Final answer
    x = 121,276.82

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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.