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Finding the Fourth Proportional to 142.10, 213.09 and 84.34

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Solution

The fourth proportional to 142.10, 213.09 and 84.34 is: 126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.10 : 213.09 = 84.34 : x
  2. Step 2: Convert to fraction form
    142.10/213.09 = 84.34/x
  3. Step 3: Cross multiply
    142.10x = 213.09 × 84.34
  4. Step 4: Simplify right side
    142.10x = 17,972.01
  5. Step 5: Solve for x
    x = 17,972.01/142.10
  6. Step 6: Final answer
    x = 126.47

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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.