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Finding the Fourth Proportional to 92.78, 138.94 and 52.23

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Solution

The fourth proportional to 92.78, 138.94 and 52.23 is: 78.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.78 : 138.94 = 52.23 : x
  2. Step 2: Convert to fraction form
    92.78/138.94 = 52.23/x
  3. Step 3: Cross multiply
    92.78x = 138.94 × 52.23
  4. Step 4: Simplify right side
    92.78x = 7,256.84
  5. Step 5: Solve for x
    x = 7,256.84/92.78
  6. Step 6: Final answer
    x = 78.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.