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Finding the Fourth Proportional to 142.87, 213.85 and 74.30

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Solution

The fourth proportional to 142.87, 213.85 and 74.30 is: 111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.87 : 213.85 = 74.30 : x
  2. Step 2: Convert to fraction form
    142.87/213.85 = 74.30/x
  3. Step 3: Cross multiply
    142.87x = 213.85 × 74.30
  4. Step 4: Simplify right side
    142.87x = 15,889.06
  5. Step 5: Solve for x
    x = 15,889.06/142.87
  6. Step 6: Final answer
    x = 111.21

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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.