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Finding the Fourth Proportional to 72,788.73, 109,182.47 and 20,198.22

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Solution

The fourth proportional to 72,788.73, 109,182.47 and 20,198.22 is: 30,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,788.73 : 109,182.47 = 20,198.22 : x
  2. Step 2: Convert to fraction form
    72,788.73/109,182.47 = 20,198.22/x
  3. Step 3: Cross multiply
    72,788.73x = 109,182.47 × 20,198.22
  4. Step 4: Simplify right side
    72,788.73x = 2,205,291,448.21
  5. Step 5: Solve for x
    x = 2,205,291,448.21/72,788.73
  6. Step 6: Final answer
    x = 30,297.16

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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.