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Finding the Fourth Proportional to 123,412.80, 184,651.20 and 81,940.80

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Solution

The fourth proportional to 123,412.80, 184,651.20 and 81,940.80 is: 122,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,412.80 : 184,651.20 = 81,940.80 : x
  2. Step 2: Convert to fraction form
    123,412.80/184,651.20 = 81,940.80/x
  3. Step 3: Cross multiply
    123,412.80x = 184,651.20 × 81,940.80
  4. Step 4: Simplify right side
    123,412.80x = 15,130,467,048.96
  5. Step 5: Solve for x
    x = 15,130,467,048.96/123,412.80
  6. Step 6: Final answer
    x = 122,600.47

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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.