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Finding the Fourth Proportional to 200,908, 277,266 and 111,484

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Solution

The fourth proportional to 200,908, 277,266 and 111,484 is: 153,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,908 : 277,266 = 111,484 : x
  2. Step 2: Convert to fraction form
    200,908/277,266 = 111,484/x
  3. Step 3: Cross multiply
    200,908x = 277,266 × 111,484
  4. Step 4: Simplify right side
    200,908x = 30,910,722,744
  5. Step 5: Solve for x
    x = 30,910,722,744/200,908
  6. Step 6: Final answer
    x = 153,855.11

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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.