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Finding the Fourth Proportional to 142.50, 213.69 and 77.49

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Solution

The fourth proportional to 142.50, 213.69 and 77.49 is: 116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.50 : 213.69 = 77.49 : x
  2. Step 2: Convert to fraction form
    142.50/213.69 = 77.49/x
  3. Step 3: Cross multiply
    142.50x = 213.69 × 77.49
  4. Step 4: Simplify right side
    142.50x = 16,558.84
  5. Step 5: Solve for x
    x = 16,558.84/142.50
  6. Step 6: Final answer
    x = 116.20

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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.