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Finding the Fourth Proportional to 47,824, 71,761.92 and 23,200

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Solution

The fourth proportional to 47,824, 71,761.92 and 23,200 is: 34,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,824 : 71,761.92 = 23,200 : x
  2. Step 2: Convert to fraction form
    47,824/71,761.92 = 23,200/x
  3. Step 3: Cross multiply
    47,824x = 71,761.92 × 23,200
  4. Step 4: Simplify right side
    47,824x = 1,664,876,544
  5. Step 5: Solve for x
    x = 1,664,876,544/47,824
  6. Step 6: Final answer
    x = 34,812.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.