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Finding the Fourth Proportional to 118.09, 162.95 and 68.97

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Solution

The fourth proportional to 118.09, 162.95 and 68.97 is: 95.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.09 : 162.95 = 68.97 : x
  2. Step 2: Convert to fraction form
    118.09/162.95 = 68.97/x
  3. Step 3: Cross multiply
    118.09x = 162.95 × 68.97
  4. Step 4: Simplify right side
    118.09x = 11,237.50
  5. Step 5: Solve for x
    x = 11,237.50/118.09
  6. Step 6: Final answer
    x = 95.16

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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.