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Finding the Fourth Proportional to 51.36, 77.42 and 48.72

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Solution

The fourth proportional to 51.36, 77.42 and 48.72 is: 73.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.36 : 77.42 = 48.72 : x
  2. Step 2: Convert to fraction form
    51.36/77.42 = 48.72/x
  3. Step 3: Cross multiply
    51.36x = 77.42 × 48.72
  4. Step 4: Simplify right side
    51.36x = 3,771.90
  5. Step 5: Solve for x
    x = 3,771.90/51.36
  6. Step 6: Final answer
    x = 73.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.