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Finding the Fourth Proportional to 82,002.60, 122,884.21 and 36,355.23

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Solution

The fourth proportional to 82,002.60, 122,884.21 and 36,355.23 is: 54,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.60 : 122,884.21 = 36,355.23 : x
  2. Step 2: Convert to fraction form
    82,002.60/122,884.21 = 36,355.23/x
  3. Step 3: Cross multiply
    82,002.60x = 122,884.21 × 36,355.23
  4. Step 4: Simplify right side
    82,002.60x = 4,467,483,717.92
  5. Step 5: Solve for x
    x = 4,467,483,717.92/82,002.60
  6. Step 6: Final answer
    x = 54,479.78

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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.