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Finding the Fourth Proportional to 71,676.74, 98,890.74 and 39,839.49

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Solution

The fourth proportional to 71,676.74, 98,890.74 and 39,839.49 is: 54,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.74 : 98,890.74 = 39,839.49 : x
  2. Step 2: Convert to fraction form
    71,676.74/98,890.74 = 39,839.49/x
  3. Step 3: Cross multiply
    71,676.74x = 98,890.74 × 39,839.49
  4. Step 4: Simplify right side
    71,676.74x = 3,939,756,647.32
  5. Step 5: Solve for x
    x = 3,939,756,647.32/71,676.74
  6. Step 6: Final answer
    x = 54,965.63

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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.