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Finding the Fourth Proportional to 200,910, 277,268.76 and 111,486

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Solution

The fourth proportional to 200,910, 277,268.76 and 111,486 is: 153,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,910 : 277,268.76 = 111,486 : x
  2. Step 2: Convert to fraction form
    200,910/277,268.76 = 111,486/x
  3. Step 3: Cross multiply
    200,910x = 277,268.76 × 111,486
  4. Step 4: Simplify right side
    200,910x = 30,911,584,977.36
  5. Step 5: Solve for x
    x = 30,911,584,977.36/200,910
  6. Step 6: Final answer
    x = 153,857.87

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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.