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Finding the Fourth Proportional to 57,384.12, 86,093.46 and 20,451

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Solution

The fourth proportional to 57,384.12, 86,093.46 and 20,451 is: 30,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384.12 : 86,093.46 = 20,451 : x
  2. Step 2: Convert to fraction form
    57,384.12/86,093.46 = 20,451/x
  3. Step 3: Cross multiply
    57,384.12x = 86,093.46 × 20,451
  4. Step 4: Simplify right side
    57,384.12x = 1,760,697,350.46
  5. Step 5: Solve for x
    x = 1,760,697,350.46/57,384.12
  6. Step 6: Final answer
    x = 30,682.66

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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.