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Finding the Fourth Proportional to 117.22, 161.99 and 86.17

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Solution

The fourth proportional to 117.22, 161.99 and 86.17 is: 119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.22 : 161.99 = 86.17 : x
  2. Step 2: Convert to fraction form
    117.22/161.99 = 86.17/x
  3. Step 3: Cross multiply
    117.22x = 161.99 × 86.17
  4. Step 4: Simplify right side
    117.22x = 13,958.68
  5. Step 5: Solve for x
    x = 13,958.68/117.22
  6. Step 6: Final answer
    x = 119.08

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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.