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Finding the Fourth Proportional to 130.21, 195.33 and 81.42

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Solution

The fourth proportional to 130.21, 195.33 and 81.42 is: 122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.21 : 195.33 = 81.42 : x
  2. Step 2: Convert to fraction form
    130.21/195.33 = 81.42/x
  3. Step 3: Cross multiply
    130.21x = 195.33 × 81.42
  4. Step 4: Simplify right side
    130.21x = 15,904.44
  5. Step 5: Solve for x
    x = 15,904.44/130.21
  6. Step 6: Final answer
    x = 122.14

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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.