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Finding the Fourth Proportional to 47,751.78, 71,511 and 41,219.94

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Solution

The fourth proportional to 47,751.78, 71,511 and 41,219.94 is: 61,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751.78 : 71,511 = 41,219.94 : x
  2. Step 2: Convert to fraction form
    47,751.78/71,511 = 41,219.94/x
  3. Step 3: Cross multiply
    47,751.78x = 71,511 × 41,219.94
  4. Step 4: Simplify right side
    47,751.78x = 2,947,679,129.34
  5. Step 5: Solve for x
    x = 2,947,679,129.34/47,751.78
  6. Step 6: Final answer
    x = 61,729.20

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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.