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Finding the Fourth Proportional to 272,759.72, 408,949.40 and 120,874.10

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Solution

The fourth proportional to 272,759.72, 408,949.40 and 120,874.10 is: 181,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,759.72 : 408,949.40 = 120,874.10 : x
  2. Step 2: Convert to fraction form
    272,759.72/408,949.40 = 120,874.10/x
  3. Step 3: Cross multiply
    272,759.72x = 408,949.40 × 120,874.10
  4. Step 4: Simplify right side
    272,759.72x = 49,431,388,021.42
  5. Step 5: Solve for x
    x = 49,431,388,021.42/272,759.72
  6. Step 6: Final answer
    x = 181,226.86

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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.