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Finding the Fourth Proportional to 68.64, 103.02 and 51.56

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Solution

The fourth proportional to 68.64, 103.02 and 51.56 is: 77.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.64 : 103.02 = 51.56 : x
  2. Step 2: Convert to fraction form
    68.64/103.02 = 51.56/x
  3. Step 3: Cross multiply
    68.64x = 103.02 × 51.56
  4. Step 4: Simplify right side
    68.64x = 5,311.71
  5. Step 5: Solve for x
    x = 5,311.71/68.64
  6. Step 6: Final answer
    x = 77.39

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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.