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Finding the Fourth Proportional to 198,509.60, 297,850.80 and 100,013.60

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Solution

The fourth proportional to 198,509.60, 297,850.80 and 100,013.60 is: 150,063.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,509.60 : 297,850.80 = 100,013.60 : x
  2. Step 2: Convert to fraction form
    198,509.60/297,850.80 = 100,013.60/x
  3. Step 3: Cross multiply
    198,509.60x = 297,850.80 × 100,013.60
  4. Step 4: Simplify right side
    198,509.60x = 29,789,130,770.88
  5. Step 5: Solve for x
    x = 29,789,130,770.88/198,509.60
  6. Step 6: Final answer
    x = 150,063.93

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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.