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Finding the Fourth Proportional to 74,069, 111,103.50 and 18,665

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Solution

The fourth proportional to 74,069, 111,103.50 and 18,665 is: 27,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,069 : 111,103.50 = 18,665 : x
  2. Step 2: Convert to fraction form
    74,069/111,103.50 = 18,665/x
  3. Step 3: Cross multiply
    74,069x = 111,103.50 × 18,665
  4. Step 4: Simplify right side
    74,069x = 2,073,746,827.50
  5. Step 5: Solve for x
    x = 2,073,746,827.50/74,069
  6. Step 6: Final answer
    x = 27,997.50

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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.