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Finding the Fourth Proportional to 93.86, 140.86 and 39.82

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Solution

The fourth proportional to 93.86, 140.86 and 39.82 is: 59.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.86 : 140.86 = 39.82 : x
  2. Step 2: Convert to fraction form
    93.86/140.86 = 39.82/x
  3. Step 3: Cross multiply
    93.86x = 140.86 × 39.82
  4. Step 4: Simplify right side
    93.86x = 5,609.05
  5. Step 5: Solve for x
    x = 5,609.05/93.86
  6. Step 6: Final answer
    x = 59.76

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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.