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Finding the Fourth Proportional to 130.31, 195.14 and 81.53

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Solution

The fourth proportional to 130.31, 195.14 and 81.53 is: 122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.31 : 195.14 = 81.53 : x
  2. Step 2: Convert to fraction form
    130.31/195.14 = 81.53/x
  3. Step 3: Cross multiply
    130.31x = 195.14 × 81.53
  4. Step 4: Simplify right side
    130.31x = 15,908.38
  5. Step 5: Solve for x
    x = 15,908.38/130.31
  6. Step 6: Final answer
    x = 122.09

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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.