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Finding the Fourth Proportional to 120.87, 167.00 and 101.70

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Solution

The fourth proportional to 120.87, 167.00 and 101.70 is: 140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.87 : 167.00 = 101.70 : x
  2. Step 2: Convert to fraction form
    120.87/167.00 = 101.70/x
  3. Step 3: Cross multiply
    120.87x = 167.00 × 101.70
  4. Step 4: Simplify right side
    120.87x = 16,983.39
  5. Step 5: Solve for x
    x = 16,983.39/120.87
  6. Step 6: Final answer
    x = 140.51

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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.