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Finding the Fourth Proportional to 200,884.83, 277,200.88 and 120,310.29

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Solution

The fourth proportional to 200,884.83, 277,200.88 and 120,310.29 is: 166,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,884.83 : 277,200.88 = 120,310.29 : x
  2. Step 2: Convert to fraction form
    200,884.83/277,200.88 = 120,310.29/x
  3. Step 3: Cross multiply
    200,884.83x = 277,200.88 × 120,310.29
  4. Step 4: Simplify right side
    200,884.83x = 33,350,117,857.40
  5. Step 5: Solve for x
    x = 33,350,117,857.40/200,884.83
  6. Step 6: Final answer
    x = 166,016.11

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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.