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Finding the Fourth Proportional to 225,942, 338,913 and 78,198

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Solution

The fourth proportional to 225,942, 338,913 and 78,198 is: 117,297

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,942 : 338,913 = 78,198 : x
  2. Step 2: Convert to fraction form
    225,942/338,913 = 78,198/x
  3. Step 3: Cross multiply
    225,942x = 338,913 × 78,198
  4. Step 4: Simplify right side
    225,942x = 26,502,318,774
  5. Step 5: Solve for x
    x = 26,502,318,774/225,942
  6. Step 6: Final answer
    x = 117,297

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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.