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Finding the Fourth Proportional to 92.26, 137.71 and 87.14

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Solution

The fourth proportional to 92.26, 137.71 and 87.14 is: 130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.26 : 137.71 = 87.14 : x
  2. Step 2: Convert to fraction form
    92.26/137.71 = 87.14/x
  3. Step 3: Cross multiply
    92.26x = 137.71 × 87.14
  4. Step 4: Simplify right side
    92.26x = 12,000.04
  5. Step 5: Solve for x
    x = 12,000.04/92.26
  6. Step 6: Final answer
    x = 130.06

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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.