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Finding the Fourth Proportional to 114.67, 171.73 and 74.13

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Solution

The fourth proportional to 114.67, 171.73 and 74.13 is: 111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.67 : 171.73 = 74.13 : x
  2. Step 2: Convert to fraction form
    114.67/171.73 = 74.13/x
  3. Step 3: Cross multiply
    114.67x = 171.73 × 74.13
  4. Step 4: Simplify right side
    114.67x = 12,730.34
  5. Step 5: Solve for x
    x = 12,730.34/114.67
  6. Step 6: Final answer
    x = 111.02

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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.