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Finding the Fourth Proportional to 71,806.97, 99,091.69 and 39,975.88

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Solution

The fourth proportional to 71,806.97, 99,091.69 and 39,975.88 is: 55,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,806.97 : 99,091.69 = 39,975.88 : x
  2. Step 2: Convert to fraction form
    71,806.97/99,091.69 = 39,975.88/x
  3. Step 3: Cross multiply
    71,806.97x = 99,091.69 × 39,975.88
  4. Step 4: Simplify right side
    71,806.97x = 3,961,277,199.84
  5. Step 5: Solve for x
    x = 3,961,277,199.84/71,806.97
  6. Step 6: Final answer
    x = 55,165.63

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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.