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Finding the Fourth Proportional to 72,954, 100,676.52 and 39,420

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Solution

The fourth proportional to 72,954, 100,676.52 and 39,420 is: 54,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,954 : 100,676.52 = 39,420 : x
  2. Step 2: Convert to fraction form
    72,954/100,676.52 = 39,420/x
  3. Step 3: Cross multiply
    72,954x = 100,676.52 × 39,420
  4. Step 4: Simplify right side
    72,954x = 3,968,668,418.40
  5. Step 5: Solve for x
    x = 3,968,668,418.40/72,954
  6. Step 6: Final answer
    x = 54,399.60

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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.