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Finding the Fourth Proportional to 73,198, 101,013.36 and 39,664

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Solution

The fourth proportional to 73,198, 101,013.36 and 39,664 is: 54,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,198 : 101,013.36 = 39,664 : x
  2. Step 2: Convert to fraction form
    73,198/101,013.36 = 39,664/x
  3. Step 3: Cross multiply
    73,198x = 101,013.36 × 39,664
  4. Step 4: Simplify right side
    73,198x = 4,006,593,911.04
  5. Step 5: Solve for x
    x = 4,006,593,911.04/73,198
  6. Step 6: Final answer
    x = 54,736.39

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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.