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Finding the Fourth Proportional to 114.75, 171.86 and 74.12

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Solution

The fourth proportional to 114.75, 171.86 and 74.12 is: 111.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.75 : 171.86 = 74.12 : x
  2. Step 2: Convert to fraction form
    114.75/171.86 = 74.12/x
  3. Step 3: Cross multiply
    114.75x = 171.86 × 74.12
  4. Step 4: Simplify right side
    114.75x = 12,737.03
  5. Step 5: Solve for x
    x = 12,737.03/114.75
  6. Step 6: Final answer
    x = 111.00

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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.