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Finding the Fourth Proportional to 91.94, 138.03 and 84.02

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Solution

The fourth proportional to 91.94, 138.03 and 84.02 is: 126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.94 : 138.03 = 84.02 : x
  2. Step 2: Convert to fraction form
    91.94/138.03 = 84.02/x
  3. Step 3: Cross multiply
    91.94x = 138.03 × 84.02
  4. Step 4: Simplify right side
    91.94x = 11,597.28
  5. Step 5: Solve for x
    x = 11,597.28/91.94
  6. Step 6: Final answer
    x = 126.14

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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.