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Finding the Fourth Proportional to 91.32, 137.69 and 83.76

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Solution

The fourth proportional to 91.32, 137.69 and 83.76 is: 126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.32 : 137.69 = 83.76 : x
  2. Step 2: Convert to fraction form
    91.32/137.69 = 83.76/x
  3. Step 3: Cross multiply
    91.32x = 137.69 × 83.76
  4. Step 4: Simplify right side
    91.32x = 11,532.91
  5. Step 5: Solve for x
    x = 11,532.91/91.32
  6. Step 6: Final answer
    x = 126.29

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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.