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Finding the Fourth Proportional to 198,672.94, 298,196.70 and 72,435.22

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Solution

The fourth proportional to 198,672.94, 298,196.70 and 72,435.22 is: 108,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,672.94 : 298,196.70 = 72,435.22 : x
  2. Step 2: Convert to fraction form
    198,672.94/298,196.70 = 72,435.22/x
  3. Step 3: Cross multiply
    198,672.94x = 298,196.70 × 72,435.22
  4. Step 4: Simplify right side
    198,672.94x = 21,599,943,567.77
  5. Step 5: Solve for x
    x = 21,599,943,567.77/198,672.94
  6. Step 6: Final answer
    x = 108,721.12

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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.