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Finding the Fourth Proportional to 133.50, 184.26 and 81.78

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Solution

The fourth proportional to 133.50, 184.26 and 81.78 is: 112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.50 : 184.26 = 81.78 : x
  2. Step 2: Convert to fraction form
    133.50/184.26 = 81.78/x
  3. Step 3: Cross multiply
    133.50x = 184.26 × 81.78
  4. Step 4: Simplify right side
    133.50x = 15,068.78
  5. Step 5: Solve for x
    x = 15,068.78/133.50
  6. Step 6: Final answer
    x = 112.87

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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.