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Finding the Fourth Proportional to 120.57, 166.36 and 71.43

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Solution

The fourth proportional to 120.57, 166.36 and 71.43 is: 98.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.57 : 166.36 = 71.43 : x
  2. Step 2: Convert to fraction form
    120.57/166.36 = 71.43/x
  3. Step 3: Cross multiply
    120.57x = 166.36 × 71.43
  4. Step 4: Simplify right side
    120.57x = 11,883.09
  5. Step 5: Solve for x
    x = 11,883.09/120.57
  6. Step 6: Final answer
    x = 98.56

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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.