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Finding the Fourth Proportional to 138.96, 207.93 and 84.57

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Solution

The fourth proportional to 138.96, 207.93 and 84.57 is: 126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.96 : 207.93 = 84.57 : x
  2. Step 2: Convert to fraction form
    138.96/207.93 = 84.57/x
  3. Step 3: Cross multiply
    138.96x = 207.93 × 84.57
  4. Step 4: Simplify right side
    138.96x = 17,584.64
  5. Step 5: Solve for x
    x = 17,584.64/138.96
  6. Step 6: Final answer
    x = 126.54

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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.