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Finding the Fourth Proportional to 123,078, 184,634.82 and 38,809.56

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Solution

The fourth proportional to 123,078, 184,634.82 and 38,809.56 is: 58,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,078 : 184,634.82 = 38,809.56 : x
  2. Step 2: Convert to fraction form
    123,078/184,634.82 = 38,809.56/x
  3. Step 3: Cross multiply
    123,078x = 184,634.82 × 38,809.56
  4. Step 4: Simplify right side
    123,078x = 7,165,596,124.88
  5. Step 5: Solve for x
    x = 7,165,596,124.88/123,078
  6. Step 6: Final answer
    x = 58,219.96

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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.