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Finding the Fourth Proportional to 86.12, 119 and 61.64

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Solution

The fourth proportional to 86.12, 119 and 61.64 is: 85.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.12 : 119 = 61.64 : x
  2. Step 2: Convert to fraction form
    86.12/119 = 61.64/x
  3. Step 3: Cross multiply
    86.12x = 119 × 61.64
  4. Step 4: Simplify right side
    86.12x = 7,335.16
  5. Step 5: Solve for x
    x = 7,335.16/86.12
  6. Step 6: Final answer
    x = 85.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.