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Finding the Fourth Proportional to 85.34, 127.83 and 71.73

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Solution

The fourth proportional to 85.34, 127.83 and 71.73 is: 107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.34 : 127.83 = 71.73 : x
  2. Step 2: Convert to fraction form
    85.34/127.83 = 71.73/x
  3. Step 3: Cross multiply
    85.34x = 127.83 × 71.73
  4. Step 4: Simplify right side
    85.34x = 9,169.25
  5. Step 5: Solve for x
    x = 9,169.25/85.34
  6. Step 6: Final answer
    x = 107.45

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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.