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Finding the Fourth Proportional to 200,886.33, 277,202.96 and 120,311.79

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Solution

The fourth proportional to 200,886.33, 277,202.96 and 120,311.79 is: 166,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,886.33 : 277,202.96 = 120,311.79 : x
  2. Step 2: Convert to fraction form
    200,886.33/277,202.96 = 120,311.79/x
  3. Step 3: Cross multiply
    200,886.33x = 277,202.96 × 120,311.79
  4. Step 4: Simplify right side
    200,886.33x = 33,350,783,709.34
  5. Step 5: Solve for x
    x = 33,350,783,709.34/200,886.33
  6. Step 6: Final answer
    x = 166,018.18

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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.