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Finding the Fourth Proportional to 92.68, 128.42 and 91.06

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Solution

The fourth proportional to 92.68, 128.42 and 91.06 is: 126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.68 : 128.42 = 91.06 : x
  2. Step 2: Convert to fraction form
    92.68/128.42 = 91.06/x
  3. Step 3: Cross multiply
    92.68x = 128.42 × 91.06
  4. Step 4: Simplify right side
    92.68x = 11,693.47
  5. Step 5: Solve for x
    x = 11,693.47/92.68
  6. Step 6: Final answer
    x = 126.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.