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Finding the Fourth Proportional to 92.14, 138.21 and 83.05

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Solution

The fourth proportional to 92.14, 138.21 and 83.05 is: 124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.14 : 138.21 = 83.05 : x
  2. Step 2: Convert to fraction form
    92.14/138.21 = 83.05/x
  3. Step 3: Cross multiply
    92.14x = 138.21 × 83.05
  4. Step 4: Simplify right side
    92.14x = 11,478.34
  5. Step 5: Solve for x
    x = 11,478.34/92.14
  6. Step 6: Final answer
    x = 124.58

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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.