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Finding the Fourth Proportional to 74.08, 111.07 and 39.81

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Solution

The fourth proportional to 74.08, 111.07 and 39.81 is: 59.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.08 : 111.07 = 39.81 : x
  2. Step 2: Convert to fraction form
    74.08/111.07 = 39.81/x
  3. Step 3: Cross multiply
    74.08x = 111.07 × 39.81
  4. Step 4: Simplify right side
    74.08x = 4,421.54
  5. Step 5: Solve for x
    x = 4,421.54/74.08
  6. Step 6: Final answer
    x = 59.68

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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.