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Finding the Fourth Proportional to 110.94, 166.36 and 78.45

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Solution

The fourth proportional to 110.94, 166.36 and 78.45 is: 117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.94 : 166.36 = 78.45 : x
  2. Step 2: Convert to fraction form
    110.94/166.36 = 78.45/x
  3. Step 3: Cross multiply
    110.94x = 166.36 × 78.45
  4. Step 4: Simplify right side
    110.94x = 13,050.94
  5. Step 5: Solve for x
    x = 13,050.94/110.94
  6. Step 6: Final answer
    x = 117.64

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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.