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Finding the Fourth Proportional to 198,701.10, 298,051.65 and 131,049.90

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Solution

The fourth proportional to 198,701.10, 298,051.65 and 131,049.90 is: 196,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,701.10 : 298,051.65 = 131,049.90 : x
  2. Step 2: Convert to fraction form
    198,701.10/298,051.65 = 131,049.90/x
  3. Step 3: Cross multiply
    198,701.10x = 298,051.65 × 131,049.90
  4. Step 4: Simplify right side
    198,701.10x = 39,059,638,927.34
  5. Step 5: Solve for x
    x = 39,059,638,927.34/198,701.10
  6. Step 6: Final answer
    x = 196,574.85

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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.