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Finding the Fourth Proportional to 123,334.34, 184,845.75 and 102,805.70

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Solution

The fourth proportional to 123,334.34, 184,845.75 and 102,805.70 is: 154,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,334.34 : 184,845.75 = 102,805.70 : x
  2. Step 2: Convert to fraction form
    123,334.34/184,845.75 = 102,805.70/x
  3. Step 3: Cross multiply
    123,334.34x = 184,845.75 × 102,805.70
  4. Step 4: Simplify right side
    123,334.34x = 19,003,196,720.78
  5. Step 5: Solve for x
    x = 19,003,196,720.78/123,334.34
  6. Step 6: Final answer
    x = 154,078.72

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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.