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Finding the Fourth Proportional to 79.62, 119.31 and 47.13

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Solution

The fourth proportional to 79.62, 119.31 and 47.13 is: 70.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.62 : 119.31 = 47.13 : x
  2. Step 2: Convert to fraction form
    79.62/119.31 = 47.13/x
  3. Step 3: Cross multiply
    79.62x = 119.31 × 47.13
  4. Step 4: Simplify right side
    79.62x = 5,623.08
  5. Step 5: Solve for x
    x = 5,623.08/79.62
  6. Step 6: Final answer
    x = 70.62

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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.