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Finding the Fourth Proportional to 48,299.80, 72,446.10 and 20,212.60

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Solution

The fourth proportional to 48,299.80, 72,446.10 and 20,212.60 is: 30,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,299.80 : 72,446.10 = 20,212.60 : x
  2. Step 2: Convert to fraction form
    48,299.80/72,446.10 = 20,212.60/x
  3. Step 3: Cross multiply
    48,299.80x = 72,446.10 × 20,212.60
  4. Step 4: Simplify right side
    48,299.80x = 1,464,324,040.86
  5. Step 5: Solve for x
    x = 1,464,324,040.86/48,299.80
  6. Step 6: Final answer
    x = 30,317.39

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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.