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Finding the Fourth Proportional to 133,678, 184,475.68 and 79,965.28

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Solution

The fourth proportional to 133,678, 184,475.68 and 79,965.28 is: 110,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,678 : 184,475.68 = 79,965.28 : x
  2. Step 2: Convert to fraction form
    133,678/184,475.68 = 79,965.28/x
  3. Step 3: Cross multiply
    133,678x = 184,475.68 × 79,965.28
  4. Step 4: Simplify right side
    133,678x = 14,751,649,404.39
  5. Step 5: Solve for x
    x = 14,751,649,404.39/133,678
  6. Step 6: Final answer
    x = 110,352.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.