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Finding the Fourth Proportional to 86.34, 119.76 and 83.10

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Solution

The fourth proportional to 86.34, 119.76 and 83.10 is: 115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.34 : 119.76 = 83.10 : x
  2. Step 2: Convert to fraction form
    86.34/119.76 = 83.10/x
  3. Step 3: Cross multiply
    86.34x = 119.76 × 83.10
  4. Step 4: Simplify right side
    86.34x = 9,952.06
  5. Step 5: Solve for x
    x = 9,952.06/86.34
  6. Step 6: Final answer
    x = 115.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.