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Finding the Fourth Proportional to 92.01, 138.57 and 85.94

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Solution

The fourth proportional to 92.01, 138.57 and 85.94 is: 129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.01 : 138.57 = 85.94 : x
  2. Step 2: Convert to fraction form
    92.01/138.57 = 85.94/x
  3. Step 3: Cross multiply
    92.01x = 138.57 × 85.94
  4. Step 4: Simplify right side
    92.01x = 11,908.21
  5. Step 5: Solve for x
    x = 11,908.21/92.01
  6. Step 6: Final answer
    x = 129.42

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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.