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Finding the Fourth Proportional to 105.96, 145.94 and 97.86

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Solution

The fourth proportional to 105.96, 145.94 and 97.86 is: 134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.96 : 145.94 = 97.86 : x
  2. Step 2: Convert to fraction form
    105.96/145.94 = 97.86/x
  3. Step 3: Cross multiply
    105.96x = 145.94 × 97.86
  4. Step 4: Simplify right side
    105.96x = 14,281.20
  5. Step 5: Solve for x
    x = 14,281.20/105.96
  6. Step 6: Final answer
    x = 134.78

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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.