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Finding the Fourth Proportional to 57,468, 86,202.02 and 18,028.20

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Solution

The fourth proportional to 57,468, 86,202.02 and 18,028.20 is: 27,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468 : 86,202.02 = 18,028.20 : x
  2. Step 2: Convert to fraction form
    57,468/86,202.02 = 18,028.20/x
  3. Step 3: Cross multiply
    57,468x = 86,202.02 × 18,028.20
  4. Step 4: Simplify right side
    57,468x = 1,554,067,256.96
  5. Step 5: Solve for x
    x = 1,554,067,256.96/57,468
  6. Step 6: Final answer
    x = 27,042.31

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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.