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Finding the Fourth Proportional to 198,701.80, 298,052.70 and 80,312.20

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Solution

The fourth proportional to 198,701.80, 298,052.70 and 80,312.20 is: 120,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,701.80 : 298,052.70 = 80,312.20 : x
  2. Step 2: Convert to fraction form
    198,701.80/298,052.70 = 80,312.20/x
  3. Step 3: Cross multiply
    198,701.80x = 298,052.70 × 80,312.20
  4. Step 4: Simplify right side
    198,701.80x = 23,937,268,052.94
  5. Step 5: Solve for x
    x = 23,937,268,052.94/198,701.80
  6. Step 6: Final answer
    x = 120,468.30

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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.