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Finding the Fourth Proportional to 49,772, 74,662.32 and 12,836

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Solution

The fourth proportional to 49,772, 74,662.32 and 12,836 is: 19,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,772 : 74,662.32 = 12,836 : x
  2. Step 2: Convert to fraction form
    49,772/74,662.32 = 12,836/x
  3. Step 3: Cross multiply
    49,772x = 74,662.32 × 12,836
  4. Step 4: Simplify right side
    49,772x = 958,365,539.52
  5. Step 5: Solve for x
    x = 958,365,539.52/49,772
  6. Step 6: Final answer
    x = 19,255.11

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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.