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Finding the Fourth Proportional to 198,797.08, 298,291.28 and 98,965.98

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Solution

The fourth proportional to 198,797.08, 298,291.28 and 98,965.98 is: 148,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,797.08 : 298,291.28 = 98,965.98 : x
  2. Step 2: Convert to fraction form
    198,797.08/298,291.28 = 98,965.98/x
  3. Step 3: Cross multiply
    198,797.08x = 298,291.28 × 98,965.98
  4. Step 4: Simplify right side
    198,797.08x = 29,520,688,850.65
  5. Step 5: Solve for x
    x = 29,520,688,850.65/198,797.08
  6. Step 6: Final answer
    x = 148,496.59

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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.