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Finding the Fourth Proportional to 139.99, 209.64 and 112.99

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Solution

The fourth proportional to 139.99, 209.64 and 112.99 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.99 : 209.64 = 112.99 : x
  2. Step 2: Convert to fraction form
    139.99/209.64 = 112.99/x
  3. Step 3: Cross multiply
    139.99x = 209.64 × 112.99
  4. Step 4: Simplify right side
    139.99x = 23,687.12
  5. Step 5: Solve for x
    x = 23,687.12/139.99
  6. Step 6: Final answer
    x = 169.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.