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Finding the Fourth Proportional to 114.34, 171.49 and 47.56

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Solution

The fourth proportional to 114.34, 171.49 and 47.56 is: 71.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.34 : 171.49 = 47.56 : x
  2. Step 2: Convert to fraction form
    114.34/171.49 = 47.56/x
  3. Step 3: Cross multiply
    114.34x = 171.49 × 47.56
  4. Step 4: Simplify right side
    114.34x = 8,156.06
  5. Step 5: Solve for x
    x = 8,156.06/114.34
  6. Step 6: Final answer
    x = 71.33

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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.