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Finding the Fourth Proportional to 100, 138.03 and 68.89

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Solution

The fourth proportional to 100, 138.03 and 68.89 is: 95.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100 : 138.03 = 68.89 : x
  2. Step 2: Convert to fraction form
    100/138.03 = 68.89/x
  3. Step 3: Cross multiply
    100x = 138.03 × 68.89
  4. Step 4: Simplify right side
    100x = 9,508.89
  5. Step 5: Solve for x
    x = 9,508.89/100
  6. Step 6: Final answer
    x = 95.09

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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.