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Finding the Fourth Proportional to 54,680.79, 82,021.22 and 15,238.95

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Solution

The fourth proportional to 54,680.79, 82,021.22 and 15,238.95 is: 22,858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,680.79 : 82,021.22 = 15,238.95 : x
  2. Step 2: Convert to fraction form
    54,680.79/82,021.22 = 15,238.95/x
  3. Step 3: Cross multiply
    54,680.79x = 82,021.22 × 15,238.95
  4. Step 4: Simplify right side
    54,680.79x = 1,249,917,270.52
  5. Step 5: Solve for x
    x = 1,249,917,270.52/54,680.79
  6. Step 6: Final answer
    x = 22,858.43

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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.