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Finding the Fourth Proportional to 107.87, 161.06 and 97.61

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Solution

The fourth proportional to 107.87, 161.06 and 97.61 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.87 : 161.06 = 97.61 : x
  2. Step 2: Convert to fraction form
    107.87/161.06 = 97.61/x
  3. Step 3: Cross multiply
    107.87x = 161.06 × 97.61
  4. Step 4: Simplify right side
    107.87x = 15,719.77
  5. Step 5: Solve for x
    x = 15,719.77/107.87
  6. Step 6: Final answer
    x = 145.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.