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Finding the Fourth Proportional to 92.37, 137.83 and 81.70

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Solution

The fourth proportional to 92.37, 137.83 and 81.70 is: 121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.37 : 137.83 = 81.70 : x
  2. Step 2: Convert to fraction form
    92.37/137.83 = 81.70/x
  3. Step 3: Cross multiply
    92.37x = 137.83 × 81.70
  4. Step 4: Simplify right side
    92.37x = 11,260.71
  5. Step 5: Solve for x
    x = 11,260.71/92.37
  6. Step 6: Final answer
    x = 121.91

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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.