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Finding the Fourth Proportional to 78.64, 117.44 and 68.44

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Solution

The fourth proportional to 78.64, 117.44 and 68.44 is: 102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.64 : 117.44 = 68.44 : x
  2. Step 2: Convert to fraction form
    78.64/117.44 = 68.44/x
  3. Step 3: Cross multiply
    78.64x = 117.44 × 68.44
  4. Step 4: Simplify right side
    78.64x = 8,037.59
  5. Step 5: Solve for x
    x = 8,037.59/78.64
  6. Step 6: Final answer
    x = 102.21

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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.