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Finding the Fourth Proportional to 63.78, 87.93 and 49.05

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Solution

The fourth proportional to 63.78, 87.93 and 49.05 is: 67.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.78 : 87.93 = 49.05 : x
  2. Step 2: Convert to fraction form
    63.78/87.93 = 49.05/x
  3. Step 3: Cross multiply
    63.78x = 87.93 × 49.05
  4. Step 4: Simplify right side
    63.78x = 4,312.97
  5. Step 5: Solve for x
    x = 4,312.97/63.78
  6. Step 6: Final answer
    x = 67.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.