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Finding the Fourth Proportional to 198,797.07, 298,291.29 and 98,965.98

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Solution

The fourth proportional to 198,797.07, 298,291.29 and 98,965.98 is: 148,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,797.07 : 298,291.29 = 98,965.98 : x
  2. Step 2: Convert to fraction form
    198,797.07/298,291.29 = 98,965.98/x
  3. Step 3: Cross multiply
    198,797.07x = 298,291.29 × 98,965.98
  4. Step 4: Simplify right side
    198,797.07x = 29,520,689,840.31
  5. Step 5: Solve for x
    x = 29,520,689,840.31/198,797.07
  6. Step 6: Final answer
    x = 148,496.60

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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.