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Finding the Fourth Proportional to 107.16, 159.86 and 103.78

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Solution

The fourth proportional to 107.16, 159.86 and 103.78 is: 154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.16 : 159.86 = 103.78 : x
  2. Step 2: Convert to fraction form
    107.16/159.86 = 103.78/x
  3. Step 3: Cross multiply
    107.16x = 159.86 × 103.78
  4. Step 4: Simplify right side
    107.16x = 16,590.27
  5. Step 5: Solve for x
    x = 16,590.27/107.16
  6. Step 6: Final answer
    x = 154.82

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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.