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Finding the Fourth Proportional to 76.25, 114.38 and 71.39

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Solution

The fourth proportional to 76.25, 114.38 and 71.39 is: 107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.25 : 114.38 = 71.39 : x
  2. Step 2: Convert to fraction form
    76.25/114.38 = 71.39/x
  3. Step 3: Cross multiply
    76.25x = 114.38 × 71.39
  4. Step 4: Simplify right side
    76.25x = 8,165.78
  5. Step 5: Solve for x
    x = 8,165.78/76.25
  6. Step 6: Final answer
    x = 107.09

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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.