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Finding the Fourth Proportional to 54,716.80, 82,014.45 and 21,425.80

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Solution

The fourth proportional to 54,716.80, 82,014.45 and 21,425.80 is: 32,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,716.80 : 82,014.45 = 21,425.80 : x
  2. Step 2: Convert to fraction form
    54,716.80/82,014.45 = 21,425.80/x
  3. Step 3: Cross multiply
    54,716.80x = 82,014.45 × 21,425.80
  4. Step 4: Simplify right side
    54,716.80x = 1,757,225,202.81
  5. Step 5: Solve for x
    x = 1,757,225,202.81/54,716.80
  6. Step 6: Final answer
    x = 32,114.91

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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.