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Finding the Fourth Proportional to 54,130.60, 81,131.10 and 27,821.80

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Solution

The fourth proportional to 54,130.60, 81,131.10 and 27,821.80 is: 41,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,130.60 : 81,131.10 = 27,821.80 : x
  2. Step 2: Convert to fraction form
    54,130.60/81,131.10 = 27,821.80/x
  3. Step 3: Cross multiply
    54,130.60x = 81,131.10 × 27,821.80
  4. Step 4: Simplify right side
    54,130.60x = 2,257,213,237.98
  5. Step 5: Solve for x
    x = 2,257,213,237.98/54,130.60
  6. Step 6: Final answer
    x = 41,699.39

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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.