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Finding the Fourth Proportional to 86.04, 119.28 and 83.04

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Solution

The fourth proportional to 86.04, 119.28 and 83.04 is: 115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.04 : 119.28 = 83.04 : x
  2. Step 2: Convert to fraction form
    86.04/119.28 = 83.04/x
  3. Step 3: Cross multiply
    86.04x = 119.28 × 83.04
  4. Step 4: Simplify right side
    86.04x = 9,905.01
  5. Step 5: Solve for x
    x = 9,905.01/86.04
  6. Step 6: Final answer
    x = 115.12

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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.