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Finding the Fourth Proportional to 49,361.60, 74,020.80 and 19,769.60

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Solution

The fourth proportional to 49,361.60, 74,020.80 and 19,769.60 is: 29,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,361.60 : 74,020.80 = 19,769.60 : x
  2. Step 2: Convert to fraction form
    49,361.60/74,020.80 = 19,769.60/x
  3. Step 3: Cross multiply
    49,361.60x = 74,020.80 × 19,769.60
  4. Step 4: Simplify right side
    49,361.60x = 1,463,361,607.68
  5. Step 5: Solve for x
    x = 1,463,361,607.68/49,361.60
  6. Step 6: Final answer
    x = 29,645.75

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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.