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Finding the Fourth Proportional to 72,982.84, 100,716.47 and 39,448.84

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Solution

The fourth proportional to 72,982.84, 100,716.47 and 39,448.84 is: 54,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,982.84 : 100,716.47 = 39,448.84 : x
  2. Step 2: Convert to fraction form
    72,982.84/100,716.47 = 39,448.84/x
  3. Step 3: Cross multiply
    72,982.84x = 100,716.47 × 39,448.84
  4. Step 4: Simplify right side
    72,982.84x = 3,973,147,910.39
  5. Step 5: Solve for x
    x = 3,973,147,910.39/72,982.84
  6. Step 6: Final answer
    x = 54,439.48

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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.