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Finding the Fourth Proportional to 123,075.84, 184,999.12 and 81,224.86

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Solution

The fourth proportional to 123,075.84, 184,999.12 and 81,224.86 is: 122,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,075.84 : 184,999.12 = 81,224.86 : x
  2. Step 2: Convert to fraction form
    123,075.84/184,999.12 = 81,224.86/x
  3. Step 3: Cross multiply
    123,075.84x = 184,999.12 × 81,224.86
  4. Step 4: Simplify right side
    123,075.84x = 15,026,527,622.12
  5. Step 5: Solve for x
    x = 15,026,527,622.12/123,075.84
  6. Step 6: Final answer
    x = 122,091.61

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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.