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Finding the Fourth Proportional to 71,728, 98,984.64 and 41,920

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Solution

The fourth proportional to 71,728, 98,984.64 and 41,920 is: 57,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,728 : 98,984.64 = 41,920 : x
  2. Step 2: Convert to fraction form
    71,728/98,984.64 = 41,920/x
  3. Step 3: Cross multiply
    71,728x = 98,984.64 × 41,920
  4. Step 4: Simplify right side
    71,728x = 4,149,436,108.80
  5. Step 5: Solve for x
    x = 4,149,436,108.80/71,728
  6. Step 6: Final answer
    x = 57,849.60

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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.