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Finding the Fourth Proportional to 120.78, 182.07 and 112.95

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Solution

The fourth proportional to 120.78, 182.07 and 112.95 is: 170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 182.07 = 112.95 : x
  2. Step 2: Convert to fraction form
    120.78/182.07 = 112.95/x
  3. Step 3: Cross multiply
    120.78x = 182.07 × 112.95
  4. Step 4: Simplify right side
    120.78x = 20,564.81
  5. Step 5: Solve for x
    x = 20,564.81/120.78
  6. Step 6: Final answer
    x = 170.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.