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Finding the Fourth Proportional to 133,580, 184,361.22 and 76,219.24

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Solution

The fourth proportional to 133,580, 184,361.22 and 76,219.24 is: 105,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,580 : 184,361.22 = 76,219.24 : x
  2. Step 2: Convert to fraction form
    133,580/184,361.22 = 76,219.24/x
  3. Step 3: Cross multiply
    133,580x = 184,361.22 × 76,219.24
  4. Step 4: Simplify right side
    133,580x = 14,051,872,073.87
  5. Step 5: Solve for x
    x = 14,051,872,073.87/133,580
  6. Step 6: Final answer
    x = 105,194.43

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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.