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Finding the Fourth Proportional to 53,640.44, 74,027.04 and 30,983.60

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Solution

The fourth proportional to 53,640.44, 74,027.04 and 30,983.60 is: 42,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,640.44 : 74,027.04 = 30,983.60 : x
  2. Step 2: Convert to fraction form
    53,640.44/74,027.04 = 30,983.60/x
  3. Step 3: Cross multiply
    53,640.44x = 74,027.04 × 30,983.60
  4. Step 4: Simplify right side
    53,640.44x = 2,293,624,196.54
  5. Step 5: Solve for x
    x = 2,293,624,196.54/53,640.44
  6. Step 6: Final answer
    x = 42,759.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.