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Finding the Fourth Proportional to 92.89, 138.77 and 60.12

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Solution

The fourth proportional to 92.89, 138.77 and 60.12 is: 89.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.89 : 138.77 = 60.12 : x
  2. Step 2: Convert to fraction form
    92.89/138.77 = 60.12/x
  3. Step 3: Cross multiply
    92.89x = 138.77 × 60.12
  4. Step 4: Simplify right side
    92.89x = 8,342.70
  5. Step 5: Solve for x
    x = 8,342.70/92.89
  6. Step 6: Final answer
    x = 89.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.