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Finding the Fourth Proportional to 47,494.26, 71,215.05 and 19,434

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Solution

The fourth proportional to 47,494.26, 71,215.05 and 19,434 is: 29,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,494.26 : 71,215.05 = 19,434 : x
  2. Step 2: Convert to fraction form
    47,494.26/71,215.05 = 19,434/x
  3. Step 3: Cross multiply
    47,494.26x = 71,215.05 × 19,434
  4. Step 4: Simplify right side
    47,494.26x = 1,383,993,281.70
  5. Step 5: Solve for x
    x = 1,383,993,281.70/47,494.26
  6. Step 6: Final answer
    x = 29,140.22

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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.