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Finding the Fourth Proportional to 74,147.76, 111,221.61 and 29,774.50

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Solution

The fourth proportional to 74,147.76, 111,221.61 and 29,774.50 is: 44,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,147.76 : 111,221.61 = 29,774.50 : x
  2. Step 2: Convert to fraction form
    74,147.76/111,221.61 = 29,774.50/x
  3. Step 3: Cross multiply
    74,147.76x = 111,221.61 × 29,774.50
  4. Step 4: Simplify right side
    74,147.76x = 3,311,568,062.86
  5. Step 5: Solve for x
    x = 3,311,568,062.86/74,147.76
  6. Step 6: Final answer
    x = 44,661.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.