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Finding the Fourth Proportional to 47,755.42, 71,647.44 and 19,277.71

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Solution

The fourth proportional to 47,755.42, 71,647.44 and 19,277.71 is: 28,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755.42 : 71,647.44 = 19,277.71 : x
  2. Step 2: Convert to fraction form
    47,755.42/71,647.44 = 19,277.71/x
  3. Step 3: Cross multiply
    47,755.42x = 71,647.44 × 19,277.71
  4. Step 4: Simplify right side
    47,755.42x = 1,381,198,570.56
  5. Step 5: Solve for x
    x = 1,381,198,570.56/47,755.42
  6. Step 6: Final answer
    x = 28,922.34

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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.