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Finding the Fourth Proportional to 198,653, 298,166.76 and 72,415.25

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Solution

The fourth proportional to 198,653, 298,166.76 and 72,415.25 is: 108,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,653 : 298,166.76 = 72,415.25 : x
  2. Step 2: Convert to fraction form
    198,653/298,166.76 = 72,415.25/x
  3. Step 3: Cross multiply
    198,653x = 298,166.76 × 72,415.25
  4. Step 4: Simplify right side
    198,653x = 21,591,820,467.09
  5. Step 5: Solve for x
    x = 21,591,820,467.09/198,653
  6. Step 6: Final answer
    x = 108,691.14

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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.