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Finding the Fourth Proportional to 118.09, 162.79 and 76.63

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Solution

The fourth proportional to 118.09, 162.79 and 76.63 is: 105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.09 : 162.79 = 76.63 : x
  2. Step 2: Convert to fraction form
    118.09/162.79 = 76.63/x
  3. Step 3: Cross multiply
    118.09x = 162.79 × 76.63
  4. Step 4: Simplify right side
    118.09x = 12,474.60
  5. Step 5: Solve for x
    x = 12,474.60/118.09
  6. Step 6: Final answer
    x = 105.64

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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.