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Finding the Fourth Proportional to 51.81, 71.44 and 42.09

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Solution

The fourth proportional to 51.81, 71.44 and 42.09 is: 58.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.81 : 71.44 = 42.09 : x
  2. Step 2: Convert to fraction form
    51.81/71.44 = 42.09/x
  3. Step 3: Cross multiply
    51.81x = 71.44 × 42.09
  4. Step 4: Simplify right side
    51.81x = 3,006.91
  5. Step 5: Solve for x
    x = 3,006.91/51.81
  6. Step 6: Final answer
    x = 58.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.