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Finding the Fourth Proportional to 142.63, 213.82 and 61.43

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Solution

The fourth proportional to 142.63, 213.82 and 61.43 is: 92.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.63 : 213.82 = 61.43 : x
  2. Step 2: Convert to fraction form
    142.63/213.82 = 61.43/x
  3. Step 3: Cross multiply
    142.63x = 213.82 × 61.43
  4. Step 4: Simplify right side
    142.63x = 13,133.74
  5. Step 5: Solve for x
    x = 13,133.74/142.63
  6. Step 6: Final answer
    x = 92.08

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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.