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Finding the Fourth Proportional to 51.43, 76.60 and 49.09

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Solution

The fourth proportional to 51.43, 76.60 and 49.09 is: 73.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.43 : 76.60 = 49.09 : x
  2. Step 2: Convert to fraction form
    51.43/76.60 = 49.09/x
  3. Step 3: Cross multiply
    51.43x = 76.60 × 49.09
  4. Step 4: Simplify right side
    51.43x = 3,760.29
  5. Step 5: Solve for x
    x = 3,760.29/51.43
  6. Step 6: Final answer
    x = 73.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.