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Finding the Fourth Proportional to 54,022.34, 80,978.16 and 20,733.46

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Solution

The fourth proportional to 54,022.34, 80,978.16 and 20,733.46 is: 31,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,022.34 : 80,978.16 = 20,733.46 : x
  2. Step 2: Convert to fraction form
    54,022.34/80,978.16 = 20,733.46/x
  3. Step 3: Cross multiply
    54,022.34x = 80,978.16 × 20,733.46
  4. Step 4: Simplify right side
    54,022.34x = 1,678,957,441.23
  5. Step 5: Solve for x
    x = 1,678,957,441.23/54,022.34
  6. Step 6: Final answer
    x = 31,078.95

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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.