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Finding the Fourth Proportional to 114, 171.12 and 73.56

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Solution

The fourth proportional to 114, 171.12 and 73.56 is: 110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 171.12 = 73.56 : x
  2. Step 2: Convert to fraction form
    114/171.12 = 73.56/x
  3. Step 3: Cross multiply
    114x = 171.12 × 73.56
  4. Step 4: Simplify right side
    114x = 12,587.59
  5. Step 5: Solve for x
    x = 12,587.59/114
  6. Step 6: Final answer
    x = 110.42

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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.