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Finding the Fourth Proportional to 200,805.13, 277,298.60 and 129,310.89

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Solution

The fourth proportional to 200,805.13, 277,298.60 and 129,310.89 is: 178,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,805.13 : 277,298.60 = 129,310.89 : x
  2. Step 2: Convert to fraction form
    200,805.13/277,298.60 = 129,310.89/x
  3. Step 3: Cross multiply
    200,805.13x = 277,298.60 × 129,310.89
  4. Step 4: Simplify right side
    200,805.13x = 35,857,728,761.75
  5. Step 5: Solve for x
    x = 35,857,728,761.75/200,805.13
  6. Step 6: Final answer
    x = 178,569.78

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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.