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Finding the Fourth Proportional to 47,779.75, 71,669.63 and 16,615

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Solution

The fourth proportional to 47,779.75, 71,669.63 and 16,615 is: 24,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,779.75 : 71,669.63 = 16,615 : x
  2. Step 2: Convert to fraction form
    47,779.75/71,669.63 = 16,615/x
  3. Step 3: Cross multiply
    47,779.75x = 71,669.63 × 16,615
  4. Step 4: Simplify right side
    47,779.75x = 1,190,790,902.45
  5. Step 5: Solve for x
    x = 1,190,790,902.45/47,779.75
  6. Step 6: Final answer
    x = 24,922.50

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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.