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Finding the Fourth Proportional to 142,382.48, 196,481.43 and 81,954.99

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Solution

The fourth proportional to 142,382.48, 196,481.43 and 81,954.99 is: 113,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,382.48 : 196,481.43 = 81,954.99 : x
  2. Step 2: Convert to fraction form
    142,382.48/196,481.43 = 81,954.99/x
  3. Step 3: Cross multiply
    142,382.48x = 196,481.43 × 81,954.99
  4. Step 4: Simplify right side
    142,382.48x = 16,102,633,630.84
  5. Step 5: Solve for x
    x = 16,102,633,630.84/142,382.48
  6. Step 6: Final answer
    x = 113,094.21

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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.