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Finding the Fourth Proportional to 92.46, 137.93 and 81.77

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Solution

The fourth proportional to 92.46, 137.93 and 81.77 is: 121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.46 : 137.93 = 81.77 : x
  2. Step 2: Convert to fraction form
    92.46/137.93 = 81.77/x
  3. Step 3: Cross multiply
    92.46x = 137.93 × 81.77
  4. Step 4: Simplify right side
    92.46x = 11,278.54
  5. Step 5: Solve for x
    x = 11,278.54/92.46
  6. Step 6: Final answer
    x = 121.98

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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.