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Finding the Fourth Proportional to 118.12, 178.15 and 112.77

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Solution

The fourth proportional to 118.12, 178.15 and 112.77 is: 170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.12 : 178.15 = 112.77 : x
  2. Step 2: Convert to fraction form
    118.12/178.15 = 112.77/x
  3. Step 3: Cross multiply
    118.12x = 178.15 × 112.77
  4. Step 4: Simplify right side
    118.12x = 20,089.40
  5. Step 5: Solve for x
    x = 20,089.40/118.12
  6. Step 6: Final answer
    x = 170.08

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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.