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Finding the Fourth Proportional to 138.52, 191.23 and 91.93

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Solution

The fourth proportional to 138.52, 191.23 and 91.93 is: 126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.52 : 191.23 = 91.93 : x
  2. Step 2: Convert to fraction form
    138.52/191.23 = 91.93/x
  3. Step 3: Cross multiply
    138.52x = 191.23 × 91.93
  4. Step 4: Simplify right side
    138.52x = 17,579.77
  5. Step 5: Solve for x
    x = 17,579.77/138.52
  6. Step 6: Final answer
    x = 126.91

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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.