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Finding the Fourth Proportional to 198,782.10, 298,173.15 and 120,050.10

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Solution

The fourth proportional to 198,782.10, 298,173.15 and 120,050.10 is: 180,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,782.10 : 298,173.15 = 120,050.10 : x
  2. Step 2: Convert to fraction form
    198,782.10/298,173.15 = 120,050.10/x
  3. Step 3: Cross multiply
    198,782.10x = 298,173.15 × 120,050.10
  4. Step 4: Simplify right side
    198,782.10x = 35,795,716,474.82
  5. Step 5: Solve for x
    x = 35,795,716,474.82/198,782.10
  6. Step 6: Final answer
    x = 180,075.15

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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.