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Finding the Fourth Proportional to 57,700.78, 86,589.01 and 20,259.88

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Solution

The fourth proportional to 57,700.78, 86,589.01 and 20,259.88 is: 30,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,700.78 : 86,589.01 = 20,259.88 : x
  2. Step 2: Convert to fraction form
    57,700.78/86,589.01 = 20,259.88/x
  3. Step 3: Cross multiply
    57,700.78x = 86,589.01 × 20,259.88
  4. Step 4: Simplify right side
    57,700.78x = 1,754,283,067.09
  5. Step 5: Solve for x
    x = 1,754,283,067.09/57,700.78
  6. Step 6: Final answer
    x = 30,403.11

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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.