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Finding the Fourth Proportional to 74,159.44, 111,238.20 and 18,000

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Solution

The fourth proportional to 74,159.44, 111,238.20 and 18,000 is: 26,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,159.44 : 111,238.20 = 18,000 : x
  2. Step 2: Convert to fraction form
    74,159.44/111,238.20 = 18,000/x
  3. Step 3: Cross multiply
    74,159.44x = 111,238.20 × 18,000
  4. Step 4: Simplify right side
    74,159.44x = 2,002,287,600
  5. Step 5: Solve for x
    x = 2,002,287,600/74,159.44
  6. Step 6: Final answer
    x = 26,999.77

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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.