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Finding the Fourth Proportional to 159.50, 239.02 and 68.11

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Solution

The fourth proportional to 159.50, 239.02 and 68.11 is: 102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.50 : 239.02 = 68.11 : x
  2. Step 2: Convert to fraction form
    159.50/239.02 = 68.11/x
  3. Step 3: Cross multiply
    159.50x = 239.02 × 68.11
  4. Step 4: Simplify right side
    159.50x = 16,278.88
  5. Step 5: Solve for x
    x = 16,278.88/159.50
  6. Step 6: Final answer
    x = 102.06

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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.