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Finding the Fourth Proportional to 198,743, 298,128.36 and 65,716.88

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Solution

The fourth proportional to 198,743, 298,128.36 and 65,716.88 is: 98,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,743 : 298,128.36 = 65,716.88 : x
  2. Step 2: Convert to fraction form
    198,743/298,128.36 = 65,716.88/x
  3. Step 3: Cross multiply
    198,743x = 298,128.36 × 65,716.88
  4. Step 4: Simplify right side
    198,743x = 19,592,065,658.72
  5. Step 5: Solve for x
    x = 19,592,065,658.72/198,743
  6. Step 6: Final answer
    x = 98,579.90

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1.5x scale

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.