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Finding the Fourth Proportional to 143,906.33, 198,529.48 and 105,599.33

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Solution

The fourth proportional to 143,906.33, 198,529.48 and 105,599.33 is: 145,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,906.33 : 198,529.48 = 105,599.33 : x
  2. Step 2: Convert to fraction form
    143,906.33/198,529.48 = 105,599.33/x
  3. Step 3: Cross multiply
    143,906.33x = 198,529.48 × 105,599.33
  4. Step 4: Simplify right side
    143,906.33x = 20,964,579,957.09
  5. Step 5: Solve for x
    x = 20,964,579,957.09/143,906.33
  6. Step 6: Final answer
    x = 145,682.12

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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.