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Finding the Fourth Proportional to 92.61, 138.38 and 74.39

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Solution

The fourth proportional to 92.61, 138.38 and 74.39 is: 111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.61 : 138.38 = 74.39 : x
  2. Step 2: Convert to fraction form
    92.61/138.38 = 74.39/x
  3. Step 3: Cross multiply
    92.61x = 138.38 × 74.39
  4. Step 4: Simplify right side
    92.61x = 10,293.02
  5. Step 5: Solve for x
    x = 10,293.02/92.61
  6. Step 6: Final answer
    x = 111.14

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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.