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Finding the Fourth Proportional to 91.08, 136.71 and 82

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Solution

The fourth proportional to 91.08, 136.71 and 82 is: 123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.08 : 136.71 = 82 : x
  2. Step 2: Convert to fraction form
    91.08/136.71 = 82/x
  3. Step 3: Cross multiply
    91.08x = 136.71 × 82
  4. Step 4: Simplify right side
    91.08x = 11,210.22
  5. Step 5: Solve for x
    x = 11,210.22/91.08
  6. Step 6: Final answer
    x = 123.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.