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Finding the Fourth Proportional to 143, 197.12 and 101.50

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Solution

The fourth proportional to 143, 197.12 and 101.50 is: 139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143 : 197.12 = 101.50 : x
  2. Step 2: Convert to fraction form
    143/197.12 = 101.50/x
  3. Step 3: Cross multiply
    143x = 197.12 × 101.50
  4. Step 4: Simplify right side
    143x = 20,007.68
  5. Step 5: Solve for x
    x = 20,007.68/143
  6. Step 6: Final answer
    x = 139.91

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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.