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Finding the Fourth Proportional to 101.54, 140.30 and 77.11

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Solution

The fourth proportional to 101.54, 140.30 and 77.11 is: 106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.54 : 140.30 = 77.11 : x
  2. Step 2: Convert to fraction form
    101.54/140.30 = 77.11/x
  3. Step 3: Cross multiply
    101.54x = 140.30 × 77.11
  4. Step 4: Simplify right side
    101.54x = 10,818.09
  5. Step 5: Solve for x
    x = 10,818.09/101.54
  6. Step 6: Final answer
    x = 106.54

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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.