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Finding the Fourth Proportional to 73,165, 100,967.74 and 39,631

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Solution

The fourth proportional to 73,165, 100,967.74 and 39,631 is: 54,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,165 : 100,967.74 = 39,631 : x
  2. Step 2: Convert to fraction form
    73,165/100,967.74 = 39,631/x
  3. Step 3: Cross multiply
    73,165x = 100,967.74 × 39,631
  4. Step 4: Simplify right side
    73,165x = 4,001,452,503.94
  5. Step 5: Solve for x
    x = 4,001,452,503.94/73,165
  6. Step 6: Final answer
    x = 54,690.80

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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.