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Finding the Fourth Proportional to 94.81, 142.28 and 84.79

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Solution

The fourth proportional to 94.81, 142.28 and 84.79 is: 127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.81 : 142.28 = 84.79 : x
  2. Step 2: Convert to fraction form
    94.81/142.28 = 84.79/x
  3. Step 3: Cross multiply
    94.81x = 142.28 × 84.79
  4. Step 4: Simplify right side
    94.81x = 12,063.92
  5. Step 5: Solve for x
    x = 12,063.92/94.81
  6. Step 6: Final answer
    x = 127.24

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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.