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Finding the Fourth Proportional to 220,800, 304,704.06 and 120,198

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Solution

The fourth proportional to 220,800, 304,704.06 and 120,198 is: 165,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,800 : 304,704.06 = 120,198 : x
  2. Step 2: Convert to fraction form
    220,800/304,704.06 = 120,198/x
  3. Step 3: Cross multiply
    220,800x = 304,704.06 × 120,198
  4. Step 4: Simplify right side
    220,800x = 36,624,818,603.88
  5. Step 5: Solve for x
    x = 36,624,818,603.88/220,800
  6. Step 6: Final answer
    x = 165,873.27

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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.