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Finding the Fourth Proportional to 143.05, 197.30 and 123.61

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Solution

The fourth proportional to 143.05, 197.30 and 123.61 is: 170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.05 : 197.30 = 123.61 : x
  2. Step 2: Convert to fraction form
    143.05/197.30 = 123.61/x
  3. Step 3: Cross multiply
    143.05x = 197.30 × 123.61
  4. Step 4: Simplify right side
    143.05x = 24,388.25
  5. Step 5: Solve for x
    x = 24,388.25/143.05
  6. Step 6: Final answer
    x = 170.49

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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.