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Finding the Fourth Proportional to 75.78, 113.79 and 51.56

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Solution

The fourth proportional to 75.78, 113.79 and 51.56 is: 77.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 113.79 = 51.56 : x
  2. Step 2: Convert to fraction form
    75.78/113.79 = 51.56/x
  3. Step 3: Cross multiply
    75.78x = 113.79 × 51.56
  4. Step 4: Simplify right side
    75.78x = 5,867.01
  5. Step 5: Solve for x
    x = 5,867.01/75.78
  6. Step 6: Final answer
    x = 77.42

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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.