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Finding the Fourth Proportional to 86.73, 129.94 and 76.33

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Solution

The fourth proportional to 86.73, 129.94 and 76.33 is: 114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.73 : 129.94 = 76.33 : x
  2. Step 2: Convert to fraction form
    86.73/129.94 = 76.33/x
  3. Step 3: Cross multiply
    86.73x = 129.94 × 76.33
  4. Step 4: Simplify right side
    86.73x = 9,918.32
  5. Step 5: Solve for x
    x = 9,918.32/86.73
  6. Step 6: Final answer
    x = 114.36

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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.