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Finding the Fourth Proportional to 57,348, 86,025.24 and 20,412

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Solution

The fourth proportional to 57,348, 86,025.24 and 20,412 is: 30,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,348 : 86,025.24 = 20,412 : x
  2. Step 2: Convert to fraction form
    57,348/86,025.24 = 20,412/x
  3. Step 3: Cross multiply
    57,348x = 86,025.24 × 20,412
  4. Step 4: Simplify right side
    57,348x = 1,755,947,198.88
  5. Step 5: Solve for x
    x = 1,755,947,198.88/57,348
  6. Step 6: Final answer
    x = 30,619.15

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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.