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Finding the Fourth Proportional to 74,954, 103,436.80 and 41,420

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Solution

The fourth proportional to 74,954, 103,436.80 and 41,420 is: 57,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,954 : 103,436.80 = 41,420 : x
  2. Step 2: Convert to fraction form
    74,954/103,436.80 = 41,420/x
  3. Step 3: Cross multiply
    74,954x = 103,436.80 × 41,420
  4. Step 4: Simplify right side
    74,954x = 4,284,352,256
  5. Step 5: Solve for x
    x = 4,284,352,256/74,954
  6. Step 6: Final answer
    x = 57,159.75

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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.