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Finding the Fourth Proportional to 101.56, 140.10 and 77

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Solution

The fourth proportional to 101.56, 140.10 and 77 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.56 : 140.10 = 77 : x
  2. Step 2: Convert to fraction form
    101.56/140.10 = 77/x
  3. Step 3: Cross multiply
    101.56x = 140.10 × 77
  4. Step 4: Simplify right side
    101.56x = 10,787.70
  5. Step 5: Solve for x
    x = 10,787.70/101.56
  6. Step 6: Final answer
    x = 106.22

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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.