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Finding the Fourth Proportional to 57,385, 86,080.76 and 20,449

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Solution

The fourth proportional to 57,385, 86,080.76 and 20,449 is: 30,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,385 : 86,080.76 = 20,449 : x
  2. Step 2: Convert to fraction form
    57,385/86,080.76 = 20,449/x
  3. Step 3: Cross multiply
    57,385x = 86,080.76 × 20,449
  4. Step 4: Simplify right side
    57,385x = 1,760,265,461.24
  5. Step 5: Solve for x
    x = 1,760,265,461.24/57,385
  6. Step 6: Final answer
    x = 30,674.66

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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.