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Finding the Fourth Proportional to 43,853.60, 65,634.60 and 30,731.60

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Solution

The fourth proportional to 43,853.60, 65,634.60 and 30,731.60 is: 45,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,853.60 : 65,634.60 = 30,731.60 : x
  2. Step 2: Convert to fraction form
    43,853.60/65,634.60 = 30,731.60/x
  3. Step 3: Cross multiply
    43,853.60x = 65,634.60 × 30,731.60
  4. Step 4: Simplify right side
    43,853.60x = 2,017,056,273.36
  5. Step 5: Solve for x
    x = 2,017,056,273.36/43,853.60
  6. Step 6: Final answer
    x = 45,995.23

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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.