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Finding the Fourth Proportional to 54,978.27, 82,412.01 and 21,685.47

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Solution

The fourth proportional to 54,978.27, 82,412.01 and 21,685.47 is: 32,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.27 : 82,412.01 = 21,685.47 : x
  2. Step 2: Convert to fraction form
    54,978.27/82,412.01 = 21,685.47/x
  3. Step 3: Cross multiply
    54,978.27x = 82,412.01 × 21,685.47
  4. Step 4: Simplify right side
    54,978.27x = 1,787,143,170.49
  5. Step 5: Solve for x
    x = 1,787,143,170.49/54,978.27
  6. Step 6: Final answer
    x = 32,506.36

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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.