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Finding the Fourth Proportional to 201,236.44, 277,687.08 and 120,649

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Solution

The fourth proportional to 201,236.44, 277,687.08 and 120,649 is: 166,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,236.44 : 277,687.08 = 120,649 : x
  2. Step 2: Convert to fraction form
    201,236.44/277,687.08 = 120,649/x
  3. Step 3: Cross multiply
    201,236.44x = 277,687.08 × 120,649
  4. Step 4: Simplify right side
    201,236.44x = 33,502,668,514.92
  5. Step 5: Solve for x
    x = 33,502,668,514.92/201,236.44
  6. Step 6: Final answer
    x = 166,484.10

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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.