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Finding the Fourth Proportional to 53,978.94, 80,966.10 and 18,443.44

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Solution

The fourth proportional to 53,978.94, 80,966.10 and 18,443.44 is: 27,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.94 : 80,966.10 = 18,443.44 : x
  2. Step 2: Convert to fraction form
    53,978.94/80,966.10 = 18,443.44/x
  3. Step 3: Cross multiply
    53,978.94x = 80,966.10 × 18,443.44
  4. Step 4: Simplify right side
    53,978.94x = 1,493,293,407.38
  5. Step 5: Solve for x
    x = 1,493,293,407.38/53,978.94
  6. Step 6: Final answer
    x = 27,664.37

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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.