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Finding the Fourth Proportional to 92.04, 137.22 and 86.87

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Solution

The fourth proportional to 92.04, 137.22 and 86.87 is: 129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.04 : 137.22 = 86.87 : x
  2. Step 2: Convert to fraction form
    92.04/137.22 = 86.87/x
  3. Step 3: Cross multiply
    92.04x = 137.22 × 86.87
  4. Step 4: Simplify right side
    92.04x = 11,920.30
  5. Step 5: Solve for x
    x = 11,920.30/92.04
  6. Step 6: Final answer
    x = 129.51

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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.