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Finding the Fourth Proportional to 94.54, 140.72 and 84.28

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Solution

The fourth proportional to 94.54, 140.72 and 84.28 is: 125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.54 : 140.72 = 84.28 : x
  2. Step 2: Convert to fraction form
    94.54/140.72 = 84.28/x
  3. Step 3: Cross multiply
    94.54x = 140.72 × 84.28
  4. Step 4: Simplify right side
    94.54x = 11,859.88
  5. Step 5: Solve for x
    x = 11,859.88/94.54
  6. Step 6: Final answer
    x = 125.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.