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Finding the Fourth Proportional to 142.74, 214.35 and 94.62

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Solution

The fourth proportional to 142.74, 214.35 and 94.62 is: 142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.74 : 214.35 = 94.62 : x
  2. Step 2: Convert to fraction form
    142.74/214.35 = 94.62/x
  3. Step 3: Cross multiply
    142.74x = 214.35 × 94.62
  4. Step 4: Simplify right side
    142.74x = 20,281.80
  5. Step 5: Solve for x
    x = 20,281.80/142.74
  6. Step 6: Final answer
    x = 142.09

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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.