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Finding the Fourth Proportional to 97.14, 134.13 and 92.02

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Solution

The fourth proportional to 97.14, 134.13 and 92.02 is: 127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.14 : 134.13 = 92.02 : x
  2. Step 2: Convert to fraction form
    97.14/134.13 = 92.02/x
  3. Step 3: Cross multiply
    97.14x = 134.13 × 92.02
  4. Step 4: Simplify right side
    97.14x = 12,342.64
  5. Step 5: Solve for x
    x = 12,342.64/97.14
  6. Step 6: Final answer
    x = 127.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.