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Finding the Fourth Proportional to 73,080, 100,850.49 and 39,546

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Solution

The fourth proportional to 73,080, 100,850.49 and 39,546 is: 54,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,080 : 100,850.49 = 39,546 : x
  2. Step 2: Convert to fraction form
    73,080/100,850.49 = 39,546/x
  3. Step 3: Cross multiply
    73,080x = 100,850.49 × 39,546
  4. Step 4: Simplify right side
    73,080x = 3,988,233,477.54
  5. Step 5: Solve for x
    x = 3,988,233,477.54/73,080
  6. Step 6: Final answer
    x = 54,573.53

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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.