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Finding the Fourth Proportional to 33,550, 46,287.20 and 20,125.60

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Solution

The fourth proportional to 33,550, 46,287.20 and 20,125.60 is: 27,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,550 : 46,287.20 = 20,125.60 : x
  2. Step 2: Convert to fraction form
    33,550/46,287.20 = 20,125.60/x
  3. Step 3: Cross multiply
    33,550x = 46,287.20 × 20,125.60
  4. Step 4: Simplify right side
    33,550x = 931,557,672.32
  5. Step 5: Solve for x
    x = 931,557,672.32/33,550
  6. Step 6: Final answer
    x = 27,766.25

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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.