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Finding the Fourth Proportional to 91.14, 137.02 and 73.23

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Solution

The fourth proportional to 91.14, 137.02 and 73.23 is: 110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.14 : 137.02 = 73.23 : x
  2. Step 2: Convert to fraction form
    91.14/137.02 = 73.23/x
  3. Step 3: Cross multiply
    91.14x = 137.02 × 73.23
  4. Step 4: Simplify right side
    91.14x = 10,033.97
  5. Step 5: Solve for x
    x = 10,033.97/91.14
  6. Step 6: Final answer
    x = 110.09

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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.