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Finding the Fourth Proportional to 107.62, 161.07 and 89.62

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Solution

The fourth proportional to 107.62, 161.07 and 89.62 is: 134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.62 : 161.07 = 89.62 : x
  2. Step 2: Convert to fraction form
    107.62/161.07 = 89.62/x
  3. Step 3: Cross multiply
    107.62x = 161.07 × 89.62
  4. Step 4: Simplify right side
    107.62x = 14,435.09
  5. Step 5: Solve for x
    x = 14,435.09/107.62
  6. Step 6: Final answer
    x = 134.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.