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Finding the Fourth Proportional to 74.54, 111.81 and 54.23

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Solution

The fourth proportional to 74.54, 111.81 and 54.23 is: 81.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.54 : 111.81 = 54.23 : x
  2. Step 2: Convert to fraction form
    74.54/111.81 = 54.23/x
  3. Step 3: Cross multiply
    74.54x = 111.81 × 54.23
  4. Step 4: Simplify right side
    74.54x = 6,062.90
  5. Step 5: Solve for x
    x = 6,062.90/74.54
  6. Step 6: Final answer
    x = 81.34

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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.