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Finding the Fourth Proportional to 123,647.81, 185,469.66 and 39,406.82

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Solution

The fourth proportional to 123,647.81, 185,469.66 and 39,406.82 is: 59,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,647.81 : 185,469.66 = 39,406.82 : x
  2. Step 2: Convert to fraction form
    123,647.81/185,469.66 = 39,406.82/x
  3. Step 3: Cross multiply
    123,647.81x = 185,469.66 × 39,406.82
  4. Step 4: Simplify right side
    123,647.81x = 7,308,768,579.73
  5. Step 5: Solve for x
    x = 7,308,768,579.73/123,647.81
  6. Step 6: Final answer
    x = 59,109.57

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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.