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Finding the Fourth Proportional to 116.97, 161.31 and 90.71

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Solution

The fourth proportional to 116.97, 161.31 and 90.71 is: 125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.97 : 161.31 = 90.71 : x
  2. Step 2: Convert to fraction form
    116.97/161.31 = 90.71/x
  3. Step 3: Cross multiply
    116.97x = 161.31 × 90.71
  4. Step 4: Simplify right side
    116.97x = 14,631.62
  5. Step 5: Solve for x
    x = 14,631.62/116.97
  6. Step 6: Final answer
    x = 125.09

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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.