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Finding the Fourth Proportional to 198,701.60, 298,090.80 and 100,205.60

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Solution

The fourth proportional to 198,701.60, 298,090.80 and 100,205.60 is: 150,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,701.60 : 298,090.80 = 100,205.60 : x
  2. Step 2: Convert to fraction form
    198,701.60/298,090.80 = 100,205.60/x
  3. Step 3: Cross multiply
    198,701.60x = 298,090.80 × 100,205.60
  4. Step 4: Simplify right side
    198,701.60x = 29,870,367,468.48
  5. Step 5: Solve for x
    x = 29,870,367,468.48/198,701.60
  6. Step 6: Final answer
    x = 150,327.77

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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.