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Finding the Fourth Proportional to 139.94, 193.05 and 120.50

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Solution

The fourth proportional to 139.94, 193.05 and 120.50 is: 166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.94 : 193.05 = 120.50 : x
  2. Step 2: Convert to fraction form
    139.94/193.05 = 120.50/x
  3. Step 3: Cross multiply
    139.94x = 193.05 × 120.50
  4. Step 4: Simplify right side
    139.94x = 23,262.53
  5. Step 5: Solve for x
    x = 23,262.53/139.94
  6. Step 6: Final answer
    x = 166.23

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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.