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Finding the Fourth Proportional to 31,305, 43,200.90 and 18,057

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Solution

The fourth proportional to 31,305, 43,200.90 and 18,057 is: 24,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305 : 43,200.90 = 18,057 : x
  2. Step 2: Convert to fraction form
    31,305/43,200.90 = 18,057/x
  3. Step 3: Cross multiply
    31,305x = 43,200.90 × 18,057
  4. Step 4: Simplify right side
    31,305x = 780,078,651.30
  5. Step 5: Solve for x
    x = 780,078,651.30/31,305
  6. Step 6: Final answer
    x = 24,918.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.