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Finding the Fourth Proportional to 120,018, 179,904.12 and 49,938

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Solution

The fourth proportional to 120,018, 179,904.12 and 49,938 is: 74,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,018 : 179,904.12 = 49,938 : x
  2. Step 2: Convert to fraction form
    120,018/179,904.12 = 49,938/x
  3. Step 3: Cross multiply
    120,018x = 179,904.12 × 49,938
  4. Step 4: Simplify right side
    120,018x = 8,984,051,944.56
  5. Step 5: Solve for x
    x = 8,984,051,944.56/120,018
  6. Step 6: Final answer
    x = 74,855.87

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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.