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Finding the Fourth Proportional to 143.66, 197.78 and 123.91

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Solution

The fourth proportional to 143.66, 197.78 and 123.91 is: 170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.66 : 197.78 = 123.91 : x
  2. Step 2: Convert to fraction form
    143.66/197.78 = 123.91/x
  3. Step 3: Cross multiply
    143.66x = 197.78 × 123.91
  4. Step 4: Simplify right side
    143.66x = 24,505.81
  5. Step 5: Solve for x
    x = 24,505.81/143.66
  6. Step 6: Final answer
    x = 170.58

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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.