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Finding the Fourth Proportional to 86.63, 119.19 and 83.64

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Solution

The fourth proportional to 86.63, 119.19 and 83.64 is: 115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.63 : 119.19 = 83.64 : x
  2. Step 2: Convert to fraction form
    86.63/119.19 = 83.64/x
  3. Step 3: Cross multiply
    86.63x = 119.19 × 83.64
  4. Step 4: Simplify right side
    86.63x = 9,968.46
  5. Step 5: Solve for x
    x = 9,968.46/86.63
  6. Step 6: Final answer
    x = 115.08

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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.