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Finding the Fourth Proportional to 71,662.28, 107,296.16 and 54,078.80

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Solution

The fourth proportional to 71,662.28, 107,296.16 and 54,078.80 is: 80,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,662.28 : 107,296.16 = 54,078.80 : x
  2. Step 2: Convert to fraction form
    71,662.28/107,296.16 = 54,078.80/x
  3. Step 3: Cross multiply
    71,662.28x = 107,296.16 × 54,078.80
  4. Step 4: Simplify right side
    71,662.28x = 5,802,447,577.41
  5. Step 5: Solve for x
    x = 5,802,447,577.41/71,662.28
  6. Step 6: Final answer
    x = 80,969.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.