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Finding the Fourth Proportional to 94.23, 140.76 and 79.70

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Solution

The fourth proportional to 94.23, 140.76 and 79.70 is: 119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.23 : 140.76 = 79.70 : x
  2. Step 2: Convert to fraction form
    94.23/140.76 = 79.70/x
  3. Step 3: Cross multiply
    94.23x = 140.76 × 79.70
  4. Step 4: Simplify right side
    94.23x = 11,217.87
  5. Step 5: Solve for x
    x = 11,217.87/94.23
  6. Step 6: Final answer
    x = 119.05

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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.