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Finding the Fourth Proportional to 198,507.75, 297,761.63 and 50,763.75

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Solution

The fourth proportional to 198,507.75, 297,761.63 and 50,763.75 is: 76,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,507.75 : 297,761.63 = 50,763.75 : x
  2. Step 2: Convert to fraction form
    198,507.75/297,761.63 = 50,763.75/x
  3. Step 3: Cross multiply
    198,507.75x = 297,761.63 × 50,763.75
  4. Step 4: Simplify right side
    198,507.75x = 15,115,496,691.09
  5. Step 5: Solve for x
    x = 15,115,496,691.09/198,507.75
  6. Step 6: Final answer
    x = 76,145.63

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1.5x scale

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.