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Finding the Fourth Proportional to 43,661.57, 65,439.42 and 30,991.40

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Solution

The fourth proportional to 43,661.57, 65,439.42 and 30,991.40 is: 46,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,661.57 : 65,439.42 = 30,991.40 : x
  2. Step 2: Convert to fraction form
    43,661.57/65,439.42 = 30,991.40/x
  3. Step 3: Cross multiply
    43,661.57x = 65,439.42 × 30,991.40
  4. Step 4: Simplify right side
    43,661.57x = 2,028,058,913.79
  5. Step 5: Solve for x
    x = 2,028,058,913.79/43,661.57
  6. Step 6: Final answer
    x = 46,449.52

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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.