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Finding the Fourth Proportional to 114.12, 171.14 and 73.78

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Solution

The fourth proportional to 114.12, 171.14 and 73.78 is: 110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.12 : 171.14 = 73.78 : x
  2. Step 2: Convert to fraction form
    114.12/171.14 = 73.78/x
  3. Step 3: Cross multiply
    114.12x = 171.14 × 73.78
  4. Step 4: Simplify right side
    114.12x = 12,626.71
  5. Step 5: Solve for x
    x = 12,626.71/114.12
  6. Step 6: Final answer
    x = 110.64

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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.