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Finding the Fourth Proportional to 49,775.20, 74,662.80 and 18,608.80

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Solution

The fourth proportional to 49,775.20, 74,662.80 and 18,608.80 is: 27,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,775.20 : 74,662.80 = 18,608.80 : x
  2. Step 2: Convert to fraction form
    49,775.20/74,662.80 = 18,608.80/x
  3. Step 3: Cross multiply
    49,775.20x = 74,662.80 × 18,608.80
  4. Step 4: Simplify right side
    49,775.20x = 1,389,385,112.64
  5. Step 5: Solve for x
    x = 1,389,385,112.64/49,775.20
  6. Step 6: Final answer
    x = 27,913.20

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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.