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Finding the Fourth Proportional to 116.91, 161.25 and 89.37

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Solution

The fourth proportional to 116.91, 161.25 and 89.37 is: 123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.91 : 161.25 = 89.37 : x
  2. Step 2: Convert to fraction form
    116.91/161.25 = 89.37/x
  3. Step 3: Cross multiply
    116.91x = 161.25 × 89.37
  4. Step 4: Simplify right side
    116.91x = 14,411.68
  5. Step 5: Solve for x
    x = 14,411.68/116.91
  6. Step 6: Final answer
    x = 123.27

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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.