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Finding the Fourth Proportional to 47,817, 71,734.05 and 19,721.43

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Solution

The fourth proportional to 47,817, 71,734.05 and 19,721.43 is: 29,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,817 : 71,734.05 = 19,721.43 : x
  2. Step 2: Convert to fraction form
    47,817/71,734.05 = 19,721.43/x
  3. Step 3: Cross multiply
    47,817x = 71,734.05 × 19,721.43
  4. Step 4: Simplify right side
    47,817x = 1,414,698,045.69
  5. Step 5: Solve for x
    x = 1,414,698,045.69/47,817
  6. Step 6: Final answer
    x = 29,585.67

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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.