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Finding the Fourth Proportional to 68.78, 102.49 and 65.34

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Solution

The fourth proportional to 68.78, 102.49 and 65.34 is: 97.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.78 : 102.49 = 65.34 : x
  2. Step 2: Convert to fraction form
    68.78/102.49 = 65.34/x
  3. Step 3: Cross multiply
    68.78x = 102.49 × 65.34
  4. Step 4: Simplify right side
    68.78x = 6,696.53
  5. Step 5: Solve for x
    x = 6,696.53/68.78
  6. Step 6: Final answer
    x = 97.36

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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.