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Finding the Fourth Proportional to 123,396.86, 185,101.78 and 39,163.48

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Solution

The fourth proportional to 123,396.86, 185,101.78 and 39,163.48 is: 58,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,396.86 : 185,101.78 = 39,163.48 : x
  2. Step 2: Convert to fraction form
    123,396.86/185,101.78 = 39,163.48/x
  3. Step 3: Cross multiply
    123,396.86x = 185,101.78 × 39,163.48
  4. Step 4: Simplify right side
    123,396.86x = 7,249,229,858.99
  5. Step 5: Solve for x
    x = 7,249,229,858.99/123,396.86
  6. Step 6: Final answer
    x = 58,747.28

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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.