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Finding the Fourth Proportional to 201,169.89, 277,604.49 and 120,581.76

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Solution

The fourth proportional to 201,169.89, 277,604.49 and 120,581.76 is: 166,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,169.89 : 277,604.49 = 120,581.76 : x
  2. Step 2: Convert to fraction form
    201,169.89/277,604.49 = 120,581.76/x
  3. Step 3: Cross multiply
    201,169.89x = 277,604.49 × 120,581.76
  4. Step 4: Simplify right side
    201,169.89x = 33,474,037,988.10
  5. Step 5: Solve for x
    x = 33,474,037,988.10/201,169.89
  6. Step 6: Final answer
    x = 166,396.86

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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.