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Finding the Fourth Proportional to 142.96, 197.31 and 84.78

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Solution

The fourth proportional to 142.96, 197.31 and 84.78 is: 117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 197.31 = 84.78 : x
  2. Step 2: Convert to fraction form
    142.96/197.31 = 84.78/x
  3. Step 3: Cross multiply
    142.96x = 197.31 × 84.78
  4. Step 4: Simplify right side
    142.96x = 16,727.94
  5. Step 5: Solve for x
    x = 16,727.94/142.96
  6. Step 6: Final answer
    x = 117.01

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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.