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Finding the Fourth Proportional to 139.02, 191.93 and 120.57

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Solution

The fourth proportional to 139.02, 191.93 and 120.57 is: 166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.02 : 191.93 = 120.57 : x
  2. Step 2: Convert to fraction form
    139.02/191.93 = 120.57/x
  3. Step 3: Cross multiply
    139.02x = 191.93 × 120.57
  4. Step 4: Simplify right side
    139.02x = 23,141.48
  5. Step 5: Solve for x
    x = 23,141.48/139.02
  6. Step 6: Final answer
    x = 166.46

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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.