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Finding the Fourth Proportional to 83.14, 125.26 and 72.94

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Solution

The fourth proportional to 83.14, 125.26 and 72.94 is: 109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.14 : 125.26 = 72.94 : x
  2. Step 2: Convert to fraction form
    83.14/125.26 = 72.94/x
  3. Step 3: Cross multiply
    83.14x = 125.26 × 72.94
  4. Step 4: Simplify right side
    83.14x = 9,136.46
  5. Step 5: Solve for x
    x = 9,136.46/83.14
  6. Step 6: Final answer
    x = 109.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.