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Finding the Fourth Proportional to 92.72, 138.96 and 47.09

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Solution

The fourth proportional to 92.72, 138.96 and 47.09 is: 70.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.72 : 138.96 = 47.09 : x
  2. Step 2: Convert to fraction form
    92.72/138.96 = 47.09/x
  3. Step 3: Cross multiply
    92.72x = 138.96 × 47.09
  4. Step 4: Simplify right side
    92.72x = 6,542.93
  5. Step 5: Solve for x
    x = 6,542.93/92.72
  6. Step 6: Final answer
    x = 70.57

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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.