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Finding the Fourth Proportional to 92.15, 138.03 and 85.82

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Solution

The fourth proportional to 92.15, 138.03 and 85.82 is: 128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.15 : 138.03 = 85.82 : x
  2. Step 2: Convert to fraction form
    92.15/138.03 = 85.82/x
  3. Step 3: Cross multiply
    92.15x = 138.03 × 85.82
  4. Step 4: Simplify right side
    92.15x = 11,845.73
  5. Step 5: Solve for x
    x = 11,845.73/92.15
  6. Step 6: Final answer
    x = 128.55

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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.