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Finding the Fourth Proportional to 259,597.70, 389,408.70 and 82,118.60

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Solution

The fourth proportional to 259,597.70, 389,408.70 and 82,118.60 is: 123,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,597.70 : 389,408.70 = 82,118.60 : x
  2. Step 2: Convert to fraction form
    259,597.70/389,408.70 = 82,118.60/x
  3. Step 3: Cross multiply
    259,597.70x = 389,408.70 × 82,118.60
  4. Step 4: Simplify right side
    259,597.70x = 31,977,697,271.82
  5. Step 5: Solve for x
    x = 31,977,697,271.82/259,597.70
  6. Step 6: Final answer
    x = 123,181.74

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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.