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Finding the Fourth Proportional to 198,230.20, 296,737.80 and 109,211.20

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Solution

The fourth proportional to 198,230.20, 296,737.80 and 109,211.20 is: 163,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,230.20 : 296,737.80 = 109,211.20 : x
  2. Step 2: Convert to fraction form
    198,230.20/296,737.80 = 109,211.20/x
  3. Step 3: Cross multiply
    198,230.20x = 296,737.80 × 109,211.20
  4. Step 4: Simplify right side
    198,230.20x = 32,407,091,223.36
  5. Step 5: Solve for x
    x = 32,407,091,223.36/198,230.20
  6. Step 6: Final answer
    x = 163,482.11

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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.