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Finding the Fourth Proportional to 54,690, 81,978.96 and 41,514.48

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Solution

The fourth proportional to 54,690, 81,978.96 and 41,514.48 is: 62,229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,690 : 81,978.96 = 41,514.48 : x
  2. Step 2: Convert to fraction form
    54,690/81,978.96 = 41,514.48/x
  3. Step 3: Cross multiply
    54,690x = 81,978.96 × 41,514.48
  4. Step 4: Simplify right side
    54,690x = 3,403,313,895.34
  5. Step 5: Solve for x
    x = 3,403,313,895.34/54,690
  6. Step 6: Final answer
    x = 62,229.18

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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.