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Finding the Fourth Proportional to 47,755.54, 71,647.64 and 19,277.84

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Solution

The fourth proportional to 47,755.54, 71,647.64 and 19,277.84 is: 28,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755.54 : 71,647.64 = 19,277.84 : x
  2. Step 2: Convert to fraction form
    47,755.54/71,647.64 = 19,277.84/x
  3. Step 3: Cross multiply
    47,755.54x = 71,647.64 × 19,277.84
  4. Step 4: Simplify right side
    47,755.54x = 1,381,211,740.30
  5. Step 5: Solve for x
    x = 1,381,211,740.30/47,755.54
  6. Step 6: Final answer
    x = 28,922.54

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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.