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Finding the Fourth Proportional to 133,751.64, 184,596.26 and 82,780.78

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Solution

The fourth proportional to 133,751.64, 184,596.26 and 82,780.78 is: 114,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,751.64 : 184,596.26 = 82,780.78 : x
  2. Step 2: Convert to fraction form
    133,751.64/184,596.26 = 82,780.78/x
  3. Step 3: Cross multiply
    133,751.64x = 184,596.26 × 82,780.78
  4. Step 4: Simplify right side
    133,751.64x = 15,281,022,387.88
  5. Step 5: Solve for x
    x = 15,281,022,387.88/133,751.64
  6. Step 6: Final answer
    x = 114,249.23

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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.