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Finding the Fourth Proportional to 92.13, 138.81 and 82.30

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Solution

The fourth proportional to 92.13, 138.81 and 82.30 is: 124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.13 : 138.81 = 82.30 : x
  2. Step 2: Convert to fraction form
    92.13/138.81 = 82.30/x
  3. Step 3: Cross multiply
    92.13x = 138.81 × 82.30
  4. Step 4: Simplify right side
    92.13x = 11,424.06
  5. Step 5: Solve for x
    x = 11,424.06/92.13
  6. Step 6: Final answer
    x = 124.00

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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.