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Finding the Fourth Proportional to 79.75, 119.19 and 59.23

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Solution

The fourth proportional to 79.75, 119.19 and 59.23 is: 88.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.75 : 119.19 = 59.23 : x
  2. Step 2: Convert to fraction form
    79.75/119.19 = 59.23/x
  3. Step 3: Cross multiply
    79.75x = 119.19 × 59.23
  4. Step 4: Simplify right side
    79.75x = 7,059.55
  5. Step 5: Solve for x
    x = 7,059.55/79.75
  6. Step 6: Final answer
    x = 88.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.