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Finding the Fourth Proportional to 101.23, 139.48 and 80.57

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Solution

The fourth proportional to 101.23, 139.48 and 80.57 is: 111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.23 : 139.48 = 80.57 : x
  2. Step 2: Convert to fraction form
    101.23/139.48 = 80.57/x
  3. Step 3: Cross multiply
    101.23x = 139.48 × 80.57
  4. Step 4: Simplify right side
    101.23x = 11,238.05
  5. Step 5: Solve for x
    x = 11,238.05/101.23
  6. Step 6: Final answer
    x = 111.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.