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Finding the Fourth Proportional to 43,740.54, 65,724.21 and 38,208.78

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Solution

The fourth proportional to 43,740.54, 65,724.21 and 38,208.78 is: 57,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,740.54 : 65,724.21 = 38,208.78 : x
  2. Step 2: Convert to fraction form
    43,740.54/65,724.21 = 38,208.78/x
  3. Step 3: Cross multiply
    43,740.54x = 65,724.21 × 38,208.78
  4. Step 4: Simplify right side
    43,740.54x = 2,511,241,880.56
  5. Step 5: Solve for x
    x = 2,511,241,880.56/43,740.54
  6. Step 6: Final answer
    x = 57,412.23

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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.