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Finding the Fourth Proportional to 54,978.18, 82,465.73 and 17,540.49

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Solution

The fourth proportional to 54,978.18, 82,465.73 and 17,540.49 is: 26,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.18 : 82,465.73 = 17,540.49 : x
  2. Step 2: Convert to fraction form
    54,978.18/82,465.73 = 17,540.49/x
  3. Step 3: Cross multiply
    54,978.18x = 82,465.73 × 17,540.49
  4. Step 4: Simplify right side
    54,978.18x = 1,446,489,312.41
  5. Step 5: Solve for x
    x = 1,446,489,312.41/54,978.18
  6. Step 6: Final answer
    x = 26,310.24

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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.