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Finding the Fourth Proportional to 63.78, 96.18 and 61.08

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Solution

The fourth proportional to 63.78, 96.18 and 61.08 is: 92.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.78 : 96.18 = 61.08 : x
  2. Step 2: Convert to fraction form
    63.78/96.18 = 61.08/x
  3. Step 3: Cross multiply
    63.78x = 96.18 × 61.08
  4. Step 4: Simplify right side
    63.78x = 5,874.67
  5. Step 5: Solve for x
    x = 5,874.67/63.78
  6. Step 6: Final answer
    x = 92.11

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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.