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Finding the Fourth Proportional to 139.09, 191.57 and 118.24

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Solution

The fourth proportional to 139.09, 191.57 and 118.24 is: 162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.09 : 191.57 = 118.24 : x
  2. Step 2: Convert to fraction form
    139.09/191.57 = 118.24/x
  3. Step 3: Cross multiply
    139.09x = 191.57 × 118.24
  4. Step 4: Simplify right side
    139.09x = 22,651.24
  5. Step 5: Solve for x
    x = 22,651.24/139.09
  6. Step 6: Final answer
    x = 162.85

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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.