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Finding the Fourth Proportional to 133,729.83, 200,518.20 and 54,801

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Solution

The fourth proportional to 133,729.83, 200,518.20 and 54,801 is: 82,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,729.83 : 200,518.20 = 54,801 : x
  2. Step 2: Convert to fraction form
    133,729.83/200,518.20 = 54,801/x
  3. Step 3: Cross multiply
    133,729.83x = 200,518.20 × 54,801
  4. Step 4: Simplify right side
    133,729.83x = 10,988,597,878.20
  5. Step 5: Solve for x
    x = 10,988,597,878.20/133,729.83
  6. Step 6: Final answer
    x = 82,170.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.