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Finding the Fourth Proportional to 92.26, 137.59 and 86.74

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Solution

The fourth proportional to 92.26, 137.59 and 86.74 is: 129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.26 : 137.59 = 86.74 : x
  2. Step 2: Convert to fraction form
    92.26/137.59 = 86.74/x
  3. Step 3: Cross multiply
    92.26x = 137.59 × 86.74
  4. Step 4: Simplify right side
    92.26x = 11,934.56
  5. Step 5: Solve for x
    x = 11,934.56/92.26
  6. Step 6: Final answer
    x = 129.36

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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.