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Finding the Fourth Proportional to 141,604.56, 195,382.92 and 81,954

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Solution

The fourth proportional to 141,604.56, 195,382.92 and 81,954 is: 113,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,604.56 : 195,382.92 = 81,954 : x
  2. Step 2: Convert to fraction form
    141,604.56/195,382.92 = 81,954/x
  3. Step 3: Cross multiply
    141,604.56x = 195,382.92 × 81,954
  4. Step 4: Simplify right side
    141,604.56x = 16,012,411,825.68
  5. Step 5: Solve for x
    x = 16,012,411,825.68/141,604.56
  6. Step 6: Final answer
    x = 113,078.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.