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Finding the Fourth Proportional to 68.23, 102.39 and 47.89

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Solution

The fourth proportional to 68.23, 102.39 and 47.89 is: 71.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.23 : 102.39 = 47.89 : x
  2. Step 2: Convert to fraction form
    68.23/102.39 = 47.89/x
  3. Step 3: Cross multiply
    68.23x = 102.39 × 47.89
  4. Step 4: Simplify right side
    68.23x = 4,903.46
  5. Step 5: Solve for x
    x = 4,903.46/68.23
  6. Step 6: Final answer
    x = 71.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.