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Finding the Fourth Proportional to 143.60, 197.14 and 123.92

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Solution

The fourth proportional to 143.60, 197.14 and 123.92 is: 170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.60 : 197.14 = 123.92 : x
  2. Step 2: Convert to fraction form
    143.60/197.14 = 123.92/x
  3. Step 3: Cross multiply
    143.60x = 197.14 × 123.92
  4. Step 4: Simplify right side
    143.60x = 24,429.59
  5. Step 5: Solve for x
    x = 24,429.59/143.60
  6. Step 6: Final answer
    x = 170.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.