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Finding the Fourth Proportional to 53,716.20, 80,574.30 and 41,428.20

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Solution

The fourth proportional to 53,716.20, 80,574.30 and 41,428.20 is: 62,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,716.20 : 80,574.30 = 41,428.20 : x
  2. Step 2: Convert to fraction form
    53,716.20/80,574.30 = 41,428.20/x
  3. Step 3: Cross multiply
    53,716.20x = 80,574.30 × 41,428.20
  4. Step 4: Simplify right side
    53,716.20x = 3,338,048,215.26
  5. Step 5: Solve for x
    x = 3,338,048,215.26/53,716.20
  6. Step 6: Final answer
    x = 62,142.30

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