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Finding the Fourth Proportional to 142.81, 214.03 and 81.03

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Solution

The fourth proportional to 142.81, 214.03 and 81.03 is: 121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.81 : 214.03 = 81.03 : x
  2. Step 2: Convert to fraction form
    142.81/214.03 = 81.03/x
  3. Step 3: Cross multiply
    142.81x = 214.03 × 81.03
  4. Step 4: Simplify right side
    142.81x = 17,342.85
  5. Step 5: Solve for x
    x = 17,342.85/142.81
  6. Step 6: Final answer
    x = 121.44

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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.