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Finding the Fourth Proportional to 120,817, 181,251.42 and 46,945

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Solution

The fourth proportional to 120,817, 181,251.42 and 46,945 is: 70,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,817 : 181,251.42 = 46,945 : x
  2. Step 2: Convert to fraction form
    120,817/181,251.42 = 46,945/x
  3. Step 3: Cross multiply
    120,817x = 181,251.42 × 46,945
  4. Step 4: Simplify right side
    120,817x = 8,508,847,911.90
  5. Step 5: Solve for x
    x = 8,508,847,911.90/120,817
  6. Step 6: Final answer
    x = 70,427.57

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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.