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Finding the Fourth Proportional to 123,006, 184,509 and 39,900

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Solution

The fourth proportional to 123,006, 184,509 and 39,900 is: 59,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,006 : 184,509 = 39,900 : x
  2. Step 2: Convert to fraction form
    123,006/184,509 = 39,900/x
  3. Step 3: Cross multiply
    123,006x = 184,509 × 39,900
  4. Step 4: Simplify right side
    123,006x = 7,361,909,100
  5. Step 5: Solve for x
    x = 7,361,909,100/123,006
  6. Step 6: Final answer
    x = 59,850

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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.