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Finding the Fourth Proportional to 92.19, 137.78 and 84.89

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Solution

The fourth proportional to 92.19, 137.78 and 84.89 is: 126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.19 : 137.78 = 84.89 : x
  2. Step 2: Convert to fraction form
    92.19/137.78 = 84.89/x
  3. Step 3: Cross multiply
    92.19x = 137.78 × 84.89
  4. Step 4: Simplify right side
    92.19x = 11,696.49
  5. Step 5: Solve for x
    x = 11,696.49/92.19
  6. Step 6: Final answer
    x = 126.87

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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.