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Finding the Fourth Proportional to 92.43, 137.75 and 87.21

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Solution

The fourth proportional to 92.43, 137.75 and 87.21 is: 129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.43 : 137.75 = 87.21 : x
  2. Step 2: Convert to fraction form
    92.43/137.75 = 87.21/x
  3. Step 3: Cross multiply
    92.43x = 137.75 × 87.21
  4. Step 4: Simplify right side
    92.43x = 12,012.74
  5. Step 5: Solve for x
    x = 12,012.74/92.43
  6. Step 6: Final answer
    x = 129.97

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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.