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Finding the Fourth Proportional to 123,938, 185,936.16 and 40,832

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Solution

The fourth proportional to 123,938, 185,936.16 and 40,832 is: 61,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,938 : 185,936.16 = 40,832 : x
  2. Step 2: Convert to fraction form
    123,938/185,936.16 = 40,832/x
  3. Step 3: Cross multiply
    123,938x = 185,936.16 × 40,832
  4. Step 4: Simplify right side
    123,938x = 7,592,145,285.12
  5. Step 5: Solve for x
    x = 7,592,145,285.12/123,938
  6. Step 6: Final answer
    x = 61,257.61

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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.