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Finding the Fourth Proportional to 40,154.40, 60,231.60 and 30,823.20

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Solution

The fourth proportional to 40,154.40, 60,231.60 and 30,823.20 is: 46,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,154.40 : 60,231.60 = 30,823.20 : x
  2. Step 2: Convert to fraction form
    40,154.40/60,231.60 = 30,823.20/x
  3. Step 3: Cross multiply
    40,154.40x = 60,231.60 × 30,823.20
  4. Step 4: Simplify right side
    40,154.40x = 1,856,530,653.12
  5. Step 5: Solve for x
    x = 1,856,530,653.12/40,154.40
  6. Step 6: Final answer
    x = 46,234.80

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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.