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Finding the Fourth Proportional to 92.44, 139.23 and 85.76

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Solution

The fourth proportional to 92.44, 139.23 and 85.76 is: 129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.44 : 139.23 = 85.76 : x
  2. Step 2: Convert to fraction form
    92.44/139.23 = 85.76/x
  3. Step 3: Cross multiply
    92.44x = 139.23 × 85.76
  4. Step 4: Simplify right side
    92.44x = 11,940.36
  5. Step 5: Solve for x
    x = 11,940.36/92.44
  6. Step 6: Final answer
    x = 129.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.