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Finding the Fourth Proportional to 123,940, 185,939.16 and 40,834

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Solution

The fourth proportional to 123,940, 185,939.16 and 40,834 is: 61,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,940 : 185,939.16 = 40,834 : x
  2. Step 2: Convert to fraction form
    123,940/185,939.16 = 40,834/x
  3. Step 3: Cross multiply
    123,940x = 185,939.16 × 40,834
  4. Step 4: Simplify right side
    123,940x = 7,592,639,659.44
  5. Step 5: Solve for x
    x = 7,592,639,659.44/123,940
  6. Step 6: Final answer
    x = 61,260.61

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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.