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Finding the Fourth Proportional to 120,019, 179,905.62 and 49,939

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Solution

The fourth proportional to 120,019, 179,905.62 and 49,939 is: 74,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,019 : 179,905.62 = 49,939 : x
  2. Step 2: Convert to fraction form
    120,019/179,905.62 = 49,939/x
  3. Step 3: Cross multiply
    120,019x = 179,905.62 × 49,939
  4. Step 4: Simplify right side
    120,019x = 8,984,306,757.18
  5. Step 5: Solve for x
    x = 8,984,306,757.18/120,019
  6. Step 6: Final answer
    x = 74,857.37

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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.