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Finding the Fourth Proportional to 57,384, 86,079.24 and 20,448

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Solution

The fourth proportional to 57,384, 86,079.24 and 20,448 is: 30,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384 : 86,079.24 = 20,448 : x
  2. Step 2: Convert to fraction form
    57,384/86,079.24 = 20,448/x
  3. Step 3: Cross multiply
    57,384x = 86,079.24 × 20,448
  4. Step 4: Simplify right side
    57,384x = 1,760,148,299.52
  5. Step 5: Solve for x
    x = 1,760,148,299.52/57,384
  6. Step 6: Final answer
    x = 30,673.15

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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.