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Finding the Fourth Proportional to 117.25, 161.81 and 89.64

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Solution

The fourth proportional to 117.25, 161.81 and 89.64 is: 123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.25 : 161.81 = 89.64 : x
  2. Step 2: Convert to fraction form
    117.25/161.81 = 89.64/x
  3. Step 3: Cross multiply
    117.25x = 161.81 × 89.64
  4. Step 4: Simplify right side
    117.25x = 14,504.65
  5. Step 5: Solve for x
    x = 14,504.65/117.25
  6. Step 6: Final answer
    x = 123.71

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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.