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Finding the Fourth Proportional to 92.58, 139.58 and 82.56

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Solution

The fourth proportional to 92.58, 139.58 and 82.56 is: 124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.58 : 139.58 = 82.56 : x
  2. Step 2: Convert to fraction form
    92.58/139.58 = 82.56/x
  3. Step 3: Cross multiply
    92.58x = 139.58 × 82.56
  4. Step 4: Simplify right side
    92.58x = 11,523.31
  5. Step 5: Solve for x
    x = 11,523.31/92.58
  6. Step 6: Final answer
    x = 124.47

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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.