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Finding the Fourth Proportional to 142.20, 213.70 and 124.60

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Solution

The fourth proportional to 142.20, 213.70 and 124.60 is: 187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.20 : 213.70 = 124.60 : x
  2. Step 2: Convert to fraction form
    142.20/213.70 = 124.60/x
  3. Step 3: Cross multiply
    142.20x = 213.70 × 124.60
  4. Step 4: Simplify right side
    142.20x = 26,627.02
  5. Step 5: Solve for x
    x = 26,627.02/142.20
  6. Step 6: Final answer
    x = 187.25

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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.