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Finding the Fourth Proportional to 120.06, 165.87 and 112.86

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Solution

The fourth proportional to 120.06, 165.87 and 112.86 is: 155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.06 : 165.87 = 112.86 : x
  2. Step 2: Convert to fraction form
    120.06/165.87 = 112.86/x
  3. Step 3: Cross multiply
    120.06x = 165.87 × 112.86
  4. Step 4: Simplify right side
    120.06x = 18,720.09
  5. Step 5: Solve for x
    x = 18,720.09/120.06
  6. Step 6: Final answer
    x = 155.92

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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.