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Finding the Fourth Proportional to 147.11, 203.00 and 80.71

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Solution

The fourth proportional to 147.11, 203.00 and 80.71 is: 111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.11 : 203.00 = 80.71 : x
  2. Step 2: Convert to fraction form
    147.11/203.00 = 80.71/x
  3. Step 3: Cross multiply
    147.11x = 203.00 × 80.71
  4. Step 4: Simplify right side
    147.11x = 16,383.73
  5. Step 5: Solve for x
    x = 16,383.73/147.11
  6. Step 6: Final answer
    x = 111.37

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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.