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Finding the Fourth Proportional to 107.13, 159.81 and 96.87

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Solution

The fourth proportional to 107.13, 159.81 and 96.87 is: 144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.13 : 159.81 = 96.87 : x
  2. Step 2: Convert to fraction form
    107.13/159.81 = 96.87/x
  3. Step 3: Cross multiply
    107.13x = 159.81 × 96.87
  4. Step 4: Simplify right side
    107.13x = 15,480.79
  5. Step 5: Solve for x
    x = 15,480.79/107.13
  6. Step 6: Final answer
    x = 144.50

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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.