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Finding the Fourth Proportional to 200,679.90, 277,125.57 and 129,183.96

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Solution

The fourth proportional to 200,679.90, 277,125.57 and 129,183.96 is: 178,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,679.90 : 277,125.57 = 129,183.96 : x
  2. Step 2: Convert to fraction form
    200,679.90/277,125.57 = 129,183.96/x
  3. Step 3: Cross multiply
    200,679.90x = 277,125.57 × 129,183.96
  4. Step 4: Simplify right side
    200,679.90x = 35,800,178,549.86
  5. Step 5: Solve for x
    x = 35,800,178,549.86/200,679.90
  6. Step 6: Final answer
    x = 178,394.44

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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.