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Finding the Fourth Proportional to 71,299, 98,418.58 and 41,491

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Solution

The fourth proportional to 71,299, 98,418.58 and 41,491 is: 57,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,299 : 98,418.58 = 41,491 : x
  2. Step 2: Convert to fraction form
    71,299/98,418.58 = 41,491/x
  3. Step 3: Cross multiply
    71,299x = 98,418.58 × 41,491
  4. Step 4: Simplify right side
    71,299x = 4,083,485,302.78
  5. Step 5: Solve for x
    x = 4,083,485,302.78/71,299
  6. Step 6: Final answer
    x = 57,272.69

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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.