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Finding the Fourth Proportional to 86.71, 119.58 and 67.00

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Solution

The fourth proportional to 86.71, 119.58 and 67.00 is: 92.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.71 : 119.58 = 67.00 : x
  2. Step 2: Convert to fraction form
    86.71/119.58 = 67.00/x
  3. Step 3: Cross multiply
    86.71x = 119.58 × 67.00
  4. Step 4: Simplify right side
    86.71x = 8,012.12
  5. Step 5: Solve for x
    x = 8,012.12/86.71
  6. Step 6: Final answer
    x = 92.41

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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.