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Finding the Fourth Proportional to 72,997, 100,735.86 and 39,463

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Solution

The fourth proportional to 72,997, 100,735.86 and 39,463 is: 54,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,997 : 100,735.86 = 39,463 : x
  2. Step 2: Convert to fraction form
    72,997/100,735.86 = 39,463/x
  3. Step 3: Cross multiply
    72,997x = 100,735.86 × 39,463
  4. Step 4: Simplify right side
    72,997x = 3,975,339,243.18
  5. Step 5: Solve for x
    x = 3,975,339,243.18/72,997
  6. Step 6: Final answer
    x = 54,458.94

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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.