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Finding the Fourth Proportional to 47,701.80, 71,487.90 and 31,861.80

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Solution

The fourth proportional to 47,701.80, 71,487.90 and 31,861.80 is: 47,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,701.80 : 71,487.90 = 31,861.80 : x
  2. Step 2: Convert to fraction form
    47,701.80/71,487.90 = 31,861.80/x
  3. Step 3: Cross multiply
    47,701.80x = 71,487.90 × 31,861.80
  4. Step 4: Simplify right side
    47,701.80x = 2,277,733,172.22
  5. Step 5: Solve for x
    x = 2,277,733,172.22/47,701.80
  6. Step 6: Final answer
    x = 47,749.42

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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.