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Finding the Fourth Proportional to 57,874.72, 86,813.13 and 20,433.88

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Solution

The fourth proportional to 57,874.72, 86,813.13 and 20,433.88 is: 30,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,874.72 : 86,813.13 = 20,433.88 : x
  2. Step 2: Convert to fraction form
    57,874.72/86,813.13 = 20,433.88/x
  3. Step 3: Cross multiply
    57,874.72x = 86,813.13 × 20,433.88
  4. Step 4: Simplify right side
    57,874.72x = 1,773,929,080.84
  5. Step 5: Solve for x
    x = 1,773,929,080.84/57,874.72
  6. Step 6: Final answer
    x = 30,651.19

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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.