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Finding the Fourth Proportional to 142.71, 196.83 and 103.52

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Solution

The fourth proportional to 142.71, 196.83 and 103.52 is: 142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.71 : 196.83 = 103.52 : x
  2. Step 2: Convert to fraction form
    142.71/196.83 = 103.52/x
  3. Step 3: Cross multiply
    142.71x = 196.83 × 103.52
  4. Step 4: Simplify right side
    142.71x = 20,374.86
  5. Step 5: Solve for x
    x = 20,374.86/142.71
  6. Step 6: Final answer
    x = 142.77

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