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Finding the Fourth Proportional to 92.06, 137.47 and 81

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Solution

The fourth proportional to 92.06, 137.47 and 81 is: 120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.06 : 137.47 = 81 : x
  2. Step 2: Convert to fraction form
    92.06/137.47 = 81/x
  3. Step 3: Cross multiply
    92.06x = 137.47 × 81
  4. Step 4: Simplify right side
    92.06x = 11,134.87
  5. Step 5: Solve for x
    x = 11,134.87/92.06
  6. Step 6: Final answer
    x = 120.95

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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.