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Finding the Fourth Proportional to 142.82, 214.22 and 94.71

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Solution

The fourth proportional to 142.82, 214.22 and 94.71 is: 142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.82 : 214.22 = 94.71 : x
  2. Step 2: Convert to fraction form
    142.82/214.22 = 94.71/x
  3. Step 3: Cross multiply
    142.82x = 214.22 × 94.71
  4. Step 4: Simplify right side
    142.82x = 20,288.78
  5. Step 5: Solve for x
    x = 20,288.78/142.82
  6. Step 6: Final answer
    x = 142.06

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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.