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Finding the Fourth Proportional to 198,007.20, 297,010.80 and 164,764.80

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Solution

The fourth proportional to 198,007.20, 297,010.80 and 164,764.80 is: 247,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,007.20 : 297,010.80 = 164,764.80 : x
  2. Step 2: Convert to fraction form
    198,007.20/297,010.80 = 164,764.80/x
  3. Step 3: Cross multiply
    198,007.20x = 297,010.80 × 164,764.80
  4. Step 4: Simplify right side
    198,007.20x = 48,936,925,059.84
  5. Step 5: Solve for x
    x = 48,936,925,059.84/198,007.20
  6. Step 6: Final answer
    x = 247,147.20

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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.