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Finding the Fourth Proportional to 142.05, 195.63 and 122.24

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Solution

The fourth proportional to 142.05, 195.63 and 122.24 is: 168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.05 : 195.63 = 122.24 : x
  2. Step 2: Convert to fraction form
    142.05/195.63 = 122.24/x
  3. Step 3: Cross multiply
    142.05x = 195.63 × 122.24
  4. Step 4: Simplify right side
    142.05x = 23,913.81
  5. Step 5: Solve for x
    x = 23,913.81/142.05
  6. Step 6: Final answer
    x = 168.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.