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Finding the Fourth Proportional to 142.11, 213.08 and 50.81

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Solution

The fourth proportional to 142.11, 213.08 and 50.81 is: 76.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.11 : 213.08 = 50.81 : x
  2. Step 2: Convert to fraction form
    142.11/213.08 = 50.81/x
  3. Step 3: Cross multiply
    142.11x = 213.08 × 50.81
  4. Step 4: Simplify right side
    142.11x = 10,825.28
  5. Step 5: Solve for x
    x = 10,825.28/142.11
  6. Step 6: Final answer
    x = 76.18

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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.