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Finding the Fourth Proportional to 200,757.68, 277,036.80 and 120,230

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Solution

The fourth proportional to 200,757.68, 277,036.80 and 120,230 is: 165,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,757.68 : 277,036.80 = 120,230 : x
  2. Step 2: Convert to fraction form
    200,757.68/277,036.80 = 120,230/x
  3. Step 3: Cross multiply
    200,757.68x = 277,036.80 × 120,230
  4. Step 4: Simplify right side
    200,757.68x = 33,308,134,464
  5. Step 5: Solve for x
    x = 33,308,134,464/200,757.68
  6. Step 6: Final answer
    x = 165,912.13

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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.