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Finding the Fourth Proportional to 91.37, 137.71 and 83.67

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Solution

The fourth proportional to 91.37, 137.71 and 83.67 is: 126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.37 : 137.71 = 83.67 : x
  2. Step 2: Convert to fraction form
    91.37/137.71 = 83.67/x
  3. Step 3: Cross multiply
    91.37x = 137.71 × 83.67
  4. Step 4: Simplify right side
    91.37x = 11,522.20
  5. Step 5: Solve for x
    x = 11,522.20/91.37
  6. Step 6: Final answer
    x = 126.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.