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Finding the Fourth Proportional to 107.25, 161.43 and 91.59

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Solution

The fourth proportional to 107.25, 161.43 and 91.59 is: 137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.25 : 161.43 = 91.59 : x
  2. Step 2: Convert to fraction form
    107.25/161.43 = 91.59/x
  3. Step 3: Cross multiply
    107.25x = 161.43 × 91.59
  4. Step 4: Simplify right side
    107.25x = 14,785.37
  5. Step 5: Solve for x
    x = 14,785.37/107.25
  6. Step 6: Final answer
    x = 137.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.