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Finding the Fourth Proportional to 92.33, 137.62 and 87.76

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Solution

The fourth proportional to 92.33, 137.62 and 87.76 is: 130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.33 : 137.62 = 87.76 : x
  2. Step 2: Convert to fraction form
    92.33/137.62 = 87.76/x
  3. Step 3: Cross multiply
    92.33x = 137.62 × 87.76
  4. Step 4: Simplify right side
    92.33x = 12,077.53
  5. Step 5: Solve for x
    x = 12,077.53/92.33
  6. Step 6: Final answer
    x = 130.81

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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.