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Finding the Fourth Proportional to 47,614, 71,424.30 and 19,912

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Solution

The fourth proportional to 47,614, 71,424.30 and 19,912 is: 29,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,614 : 71,424.30 = 19,912 : x
  2. Step 2: Convert to fraction form
    47,614/71,424.30 = 19,912/x
  3. Step 3: Cross multiply
    47,614x = 71,424.30 × 19,912
  4. Step 4: Simplify right side
    47,614x = 1,422,200,661.60
  5. Step 5: Solve for x
    x = 1,422,200,661.60/47,614
  6. Step 6: Final answer
    x = 29,869.38

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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.