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Finding the Fourth Proportional to 68.34, 93.71 and 63.71

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Solution

The fourth proportional to 68.34, 93.71 and 63.71 is: 87.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.34 : 93.71 = 63.71 : x
  2. Step 2: Convert to fraction form
    68.34/93.71 = 63.71/x
  3. Step 3: Cross multiply
    68.34x = 93.71 × 63.71
  4. Step 4: Simplify right side
    68.34x = 5,970.21
  5. Step 5: Solve for x
    x = 5,970.21/68.34
  6. Step 6: Final answer
    x = 87.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.