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Finding the Fourth Proportional to 53,908.40, 74,392 and 30,033.60

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Solution

The fourth proportional to 53,908.40, 74,392 and 30,033.60 is: 41,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,908.40 : 74,392 = 30,033.60 : x
  2. Step 2: Convert to fraction form
    53,908.40/74,392 = 30,033.60/x
  3. Step 3: Cross multiply
    53,908.40x = 74,392 × 30,033.60
  4. Step 4: Simplify right side
    53,908.40x = 2,234,259,571.20
  5. Step 5: Solve for x
    x = 2,234,259,571.20/53,908.40
  6. Step 6: Final answer
    x = 41,445.48

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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.