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Finding the Fourth Proportional to 198,015.40, 296,891.90 and 109,311.40

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Solution

The fourth proportional to 198,015.40, 296,891.90 and 109,311.40 is: 163,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,015.40 : 296,891.90 = 109,311.40 : x
  2. Step 2: Convert to fraction form
    198,015.40/296,891.90 = 109,311.40/x
  3. Step 3: Cross multiply
    198,015.40x = 296,891.90 × 109,311.40
  4. Step 4: Simplify right side
    198,015.40x = 32,453,669,237.66
  5. Step 5: Solve for x
    x = 32,453,669,237.66/198,015.40
  6. Step 6: Final answer
    x = 163,894.67

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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.