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Finding the Fourth Proportional to 144.23, 199.04 and 78.74

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Solution

The fourth proportional to 144.23, 199.04 and 78.74 is: 108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.23 : 199.04 = 78.74 : x
  2. Step 2: Convert to fraction form
    144.23/199.04 = 78.74/x
  3. Step 3: Cross multiply
    144.23x = 199.04 × 78.74
  4. Step 4: Simplify right side
    144.23x = 15,671.02
  5. Step 5: Solve for x
    x = 15,671.02/144.23
  6. Step 6: Final answer
    x = 108.66

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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.