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Finding the Fourth Proportional to 199,137.11, 298,474.54 and 80,661.11

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Solution

The fourth proportional to 199,137.11, 298,474.54 and 80,661.11 is: 120,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,137.11 : 298,474.54 = 80,661.11 : x
  2. Step 2: Convert to fraction form
    199,137.11/298,474.54 = 80,661.11/x
  3. Step 3: Cross multiply
    199,137.11x = 298,474.54 × 80,661.11
  4. Step 4: Simplify right side
    199,137.11x = 24,075,287,703.14
  5. Step 5: Solve for x
    x = 24,075,287,703.14/199,137.11
  6. Step 6: Final answer
    x = 120,898.05

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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.