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Finding the Fourth Proportional to 198,113.80, 296,733.30 and 163,121.80

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Solution

The fourth proportional to 198,113.80, 296,733.30 and 163,121.80 is: 244,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,113.80 : 296,733.30 = 163,121.80 : x
  2. Step 2: Convert to fraction form
    198,113.80/296,733.30 = 163,121.80/x
  3. Step 3: Cross multiply
    198,113.80x = 296,733.30 × 163,121.80
  4. Step 4: Simplify right side
    198,113.80x = 48,403,670,015.94
  5. Step 5: Solve for x
    x = 48,403,670,015.94/198,113.80
  6. Step 6: Final answer
    x = 244,322.56

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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.