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Finding the Fourth Proportional to 73,343, 101,213.43 and 39,809

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Solution

The fourth proportional to 73,343, 101,213.43 and 39,809 is: 54,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,343 : 101,213.43 = 39,809 : x
  2. Step 2: Convert to fraction form
    73,343/101,213.43 = 39,809/x
  3. Step 3: Cross multiply
    73,343x = 101,213.43 × 39,809
  4. Step 4: Simplify right side
    73,343x = 4,029,205,434.87
  5. Step 5: Solve for x
    x = 4,029,205,434.87/73,343
  6. Step 6: Final answer
    x = 54,936.47

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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.