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Finding the Fourth Proportional to 131.26, 196.47 and 82.93

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Solution

The fourth proportional to 131.26, 196.47 and 82.93 is: 124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.26 : 196.47 = 82.93 : x
  2. Step 2: Convert to fraction form
    131.26/196.47 = 82.93/x
  3. Step 3: Cross multiply
    131.26x = 196.47 × 82.93
  4. Step 4: Simplify right side
    131.26x = 16,293.26
  5. Step 5: Solve for x
    x = 16,293.26/131.26
  6. Step 6: Final answer
    x = 124.13

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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.