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Finding the Fourth Proportional to 117.87, 163.04 and 105.59

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Solution

The fourth proportional to 117.87, 163.04 and 105.59 is: 146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.87 : 163.04 = 105.59 : x
  2. Step 2: Convert to fraction form
    117.87/163.04 = 105.59/x
  3. Step 3: Cross multiply
    117.87x = 163.04 × 105.59
  4. Step 4: Simplify right side
    117.87x = 17,214.05
  5. Step 5: Solve for x
    x = 17,214.05/117.87
  6. Step 6: Final answer
    x = 146.04

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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.