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Finding the Fourth Proportional to 142.81, 197.13 and 93.71

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Solution

The fourth proportional to 142.81, 197.13 and 93.71 is: 129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.81 : 197.13 = 93.71 : x
  2. Step 2: Convert to fraction form
    142.81/197.13 = 93.71/x
  3. Step 3: Cross multiply
    142.81x = 197.13 × 93.71
  4. Step 4: Simplify right side
    142.81x = 18,472.79
  5. Step 5: Solve for x
    x = 18,472.79/142.81
  6. Step 6: Final answer
    x = 129.35

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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.