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Finding the Fourth Proportional to 92.40, 138.38 and 81.46

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Solution

The fourth proportional to 92.40, 138.38 and 81.46 is: 121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.40 : 138.38 = 81.46 : x
  2. Step 2: Convert to fraction form
    92.40/138.38 = 81.46/x
  3. Step 3: Cross multiply
    92.40x = 138.38 × 81.46
  4. Step 4: Simplify right side
    92.40x = 11,272.11
  5. Step 5: Solve for x
    x = 11,272.11/92.40
  6. Step 6: Final answer
    x = 121.99

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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.