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Finding the Fourth Proportional to 94.16, 141.20 and 75.80

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Solution

The fourth proportional to 94.16, 141.20 and 75.80 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.16 : 141.20 = 75.80 : x
  2. Step 2: Convert to fraction form
    94.16/141.20 = 75.80/x
  3. Step 3: Cross multiply
    94.16x = 141.20 × 75.80
  4. Step 4: Simplify right side
    94.16x = 10,702.96
  5. Step 5: Solve for x
    x = 10,702.96/94.16
  6. Step 6: Final answer
    x = 113.67

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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.