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Finding the Fourth Proportional to 200,861.43, 277,168.59 and 120,286.88

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Solution

The fourth proportional to 200,861.43, 277,168.59 and 120,286.88 is: 165,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,861.43 : 277,168.59 = 120,286.88 : x
  2. Step 2: Convert to fraction form
    200,861.43/277,168.59 = 120,286.88/x
  3. Step 3: Cross multiply
    200,861.43x = 277,168.59 × 120,286.88
  4. Step 4: Simplify right side
    200,861.43x = 33,339,744,925.10
  5. Step 5: Solve for x
    x = 33,339,744,925.10/200,861.43
  6. Step 6: Final answer
    x = 165,983.81

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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.