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Finding the Fourth Proportional to 92.71, 138.32 and 84.07

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Solution

The fourth proportional to 92.71, 138.32 and 84.07 is: 125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.71 : 138.32 = 84.07 : x
  2. Step 2: Convert to fraction form
    92.71/138.32 = 84.07/x
  3. Step 3: Cross multiply
    92.71x = 138.32 × 84.07
  4. Step 4: Simplify right side
    92.71x = 11,628.56
  5. Step 5: Solve for x
    x = 11,628.56/92.71
  6. Step 6: Final answer
    x = 125.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.