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Finding the Fourth Proportional to 92.41, 126.74 and 89.77

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Solution

The fourth proportional to 92.41, 126.74 and 89.77 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.41 : 126.74 = 89.77 : x
  2. Step 2: Convert to fraction form
    92.41/126.74 = 89.77/x
  3. Step 3: Cross multiply
    92.41x = 126.74 × 89.77
  4. Step 4: Simplify right side
    92.41x = 11,377.45
  5. Step 5: Solve for x
    x = 11,377.45/92.41
  6. Step 6: Final answer
    x = 123.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.