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Finding the Fourth Proportional to 95.73, 143.21 and 83.05

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Solution

The fourth proportional to 95.73, 143.21 and 83.05 is: 124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.73 : 143.21 = 83.05 : x
  2. Step 2: Convert to fraction form
    95.73/143.21 = 83.05/x
  3. Step 3: Cross multiply
    95.73x = 143.21 × 83.05
  4. Step 4: Simplify right side
    95.73x = 11,892.46
  5. Step 5: Solve for x
    x = 11,892.46/95.73
  6. Step 6: Final answer
    x = 124.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.