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Finding the Fourth Proportional to 200,754.25, 277,021.22 and 120,180.00

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Solution

The fourth proportional to 200,754.25, 277,021.22 and 120,180.00 is: 165,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,754.25 : 277,021.22 = 120,180.00 : x
  2. Step 2: Convert to fraction form
    200,754.25/277,021.22 = 120,180.00/x
  3. Step 3: Cross multiply
    200,754.25x = 277,021.22 × 120,180.00
  4. Step 4: Simplify right side
    200,754.25x = 33,292,410,657.53
  5. Step 5: Solve for x
    x = 33,292,410,657.53/200,754.25
  6. Step 6: Final answer
    x = 165,836.64

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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.