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Finding the Fourth Proportional to 54,869.28, 82,274.49 and 17,419.20

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Solution

The fourth proportional to 54,869.28, 82,274.49 and 17,419.20 is: 26,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,869.28 : 82,274.49 = 17,419.20 : x
  2. Step 2: Convert to fraction form
    54,869.28/82,274.49 = 17,419.20/x
  3. Step 3: Cross multiply
    54,869.28x = 82,274.49 × 17,419.20
  4. Step 4: Simplify right side
    54,869.28x = 1,433,155,796.21
  5. Step 5: Solve for x
    x = 1,433,155,796.21/54,869.28
  6. Step 6: Final answer
    x = 26,119.46

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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.