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Finding the Fourth Proportional to 139.91, 193.05 and 112.23

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Solution

The fourth proportional to 139.91, 193.05 and 112.23 is: 154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.91 : 193.05 = 112.23 : x
  2. Step 2: Convert to fraction form
    139.91/193.05 = 112.23/x
  3. Step 3: Cross multiply
    139.91x = 193.05 × 112.23
  4. Step 4: Simplify right side
    139.91x = 21,666.00
  5. Step 5: Solve for x
    x = 21,666.00/139.91
  6. Step 6: Final answer
    x = 154.86

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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.