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Finding the Fourth Proportional to 142.19, 213.41 and 56.75

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Solution

The fourth proportional to 142.19, 213.41 and 56.75 is: 85.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.19 : 213.41 = 56.75 : x
  2. Step 2: Convert to fraction form
    142.19/213.41 = 56.75/x
  3. Step 3: Cross multiply
    142.19x = 213.41 × 56.75
  4. Step 4: Simplify right side
    142.19x = 12,110.73
  5. Step 5: Solve for x
    x = 12,110.73/142.19
  6. Step 6: Final answer
    x = 85.17

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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.