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Finding the Fourth Proportional to 51,802.68, 77,651.73 and 20,193

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Solution

The fourth proportional to 51,802.68, 77,651.73 and 20,193 is: 30,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,802.68 : 77,651.73 = 20,193 : x
  2. Step 2: Convert to fraction form
    51,802.68/77,651.73 = 20,193/x
  3. Step 3: Cross multiply
    51,802.68x = 77,651.73 × 20,193
  4. Step 4: Simplify right side
    51,802.68x = 1,568,021,383.89
  5. Step 5: Solve for x
    x = 1,568,021,383.89/51,802.68
  6. Step 6: Final answer
    x = 30,269.12

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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.