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Finding the Fourth Proportional to 198,963.94, 298,258.31 and 99,029.66

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Solution

The fourth proportional to 198,963.94, 298,258.31 and 99,029.66 is: 148,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,963.94 : 298,258.31 = 99,029.66 : x
  2. Step 2: Convert to fraction form
    198,963.94/298,258.31 = 99,029.66/x
  3. Step 3: Cross multiply
    198,963.94x = 298,258.31 × 99,029.66
  4. Step 4: Simplify right side
    198,963.94x = 29,536,418,536.33
  5. Step 5: Solve for x
    x = 29,536,418,536.33/198,963.94
  6. Step 6: Final answer
    x = 148,451.11

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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.