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Finding the Fourth Proportional to 47,969.78, 71,911.11 and 16,788.02

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Solution

The fourth proportional to 47,969.78, 71,911.11 and 16,788.02 is: 25,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,969.78 : 71,911.11 = 16,788.02 : x
  2. Step 2: Convert to fraction form
    47,969.78/71,911.11 = 16,788.02/x
  3. Step 3: Cross multiply
    47,969.78x = 71,911.11 × 16,788.02
  4. Step 4: Simplify right side
    47,969.78x = 1,207,245,152.90
  5. Step 5: Solve for x
    x = 1,207,245,152.90/47,969.78
  6. Step 6: Final answer
    x = 25,166.79

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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.