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Finding the Fourth Proportional to 106.58, 146.96 and 78.90

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Solution

The fourth proportional to 106.58, 146.96 and 78.90 is: 108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.58 : 146.96 = 78.90 : x
  2. Step 2: Convert to fraction form
    106.58/146.96 = 78.90/x
  3. Step 3: Cross multiply
    106.58x = 146.96 × 78.90
  4. Step 4: Simplify right side
    106.58x = 11,594.75
  5. Step 5: Solve for x
    x = 11,594.75/106.58
  6. Step 6: Final answer
    x = 108.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.