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Finding the Fourth Proportional to 71,441.92, 98,589.68 and 39,610

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Solution

The fourth proportional to 71,441.92, 98,589.68 and 39,610 is: 54,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,441.92 : 98,589.68 = 39,610 : x
  2. Step 2: Convert to fraction form
    71,441.92/98,589.68 = 39,610/x
  3. Step 3: Cross multiply
    71,441.92x = 98,589.68 × 39,610
  4. Step 4: Simplify right side
    71,441.92x = 3,905,137,224.80
  5. Step 5: Solve for x
    x = 3,905,137,224.80/71,441.92
  6. Step 6: Final answer
    x = 54,661.71

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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.