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Finding the Fourth Proportional to 200,800, 277,104 and 111,376

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Solution

The fourth proportional to 200,800, 277,104 and 111,376 is: 153,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,800 : 277,104 = 111,376 : x
  2. Step 2: Convert to fraction form
    200,800/277,104 = 111,376/x
  3. Step 3: Cross multiply
    200,800x = 277,104 × 111,376
  4. Step 4: Simplify right side
    200,800x = 30,862,735,104
  5. Step 5: Solve for x
    x = 30,862,735,104/200,800
  6. Step 6: Final answer
    x = 153,698.88

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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.