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Finding the Fourth Proportional to 144.06, 198.81 and 78.57

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Solution

The fourth proportional to 144.06, 198.81 and 78.57 is: 108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.06 : 198.81 = 78.57 : x
  2. Step 2: Convert to fraction form
    144.06/198.81 = 78.57/x
  3. Step 3: Cross multiply
    144.06x = 198.81 × 78.57
  4. Step 4: Simplify right side
    144.06x = 15,619.39
  5. Step 5: Solve for x
    x = 15,619.39/144.06
  6. Step 6: Final answer
    x = 108.42

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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.