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Finding the Fourth Proportional to 118.98, 178.56 and 78.66

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Solution

The fourth proportional to 118.98, 178.56 and 78.66 is: 118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.98 : 178.56 = 78.66 : x
  2. Step 2: Convert to fraction form
    118.98/178.56 = 78.66/x
  3. Step 3: Cross multiply
    118.98x = 178.56 × 78.66
  4. Step 4: Simplify right side
    118.98x = 14,045.53
  5. Step 5: Solve for x
    x = 14,045.53/118.98
  6. Step 6: Final answer
    x = 118.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.