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Finding the Fourth Proportional to 49,631, 74,447.04 and 12,695

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Solution

The fourth proportional to 49,631, 74,447.04 and 12,695 is: 19,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,631 : 74,447.04 = 12,695 : x
  2. Step 2: Convert to fraction form
    49,631/74,447.04 = 12,695/x
  3. Step 3: Cross multiply
    49,631x = 74,447.04 × 12,695
  4. Step 4: Simplify right side
    49,631x = 945,105,172.80
  5. Step 5: Solve for x
    x = 945,105,172.80/49,631
  6. Step 6: Final answer
    x = 19,042.64

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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.