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Finding the Fourth Proportional to 91.16, 137.35 and 82.61

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Solution

The fourth proportional to 91.16, 137.35 and 82.61 is: 124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.16 : 137.35 = 82.61 : x
  2. Step 2: Convert to fraction form
    91.16/137.35 = 82.61/x
  3. Step 3: Cross multiply
    91.16x = 137.35 × 82.61
  4. Step 4: Simplify right side
    91.16x = 11,345.80
  5. Step 5: Solve for x
    x = 11,345.80/91.16
  6. Step 6: Final answer
    x = 124.47

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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.