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Finding the Fourth Proportional to 133,819, 184,670.22 and 74,203

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Solution

The fourth proportional to 133,819, 184,670.22 and 74,203 is: 102,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,819 : 184,670.22 = 74,203 : x
  2. Step 2: Convert to fraction form
    133,819/184,670.22 = 74,203/x
  3. Step 3: Cross multiply
    133,819x = 184,670.22 × 74,203
  4. Step 4: Simplify right side
    133,819x = 13,703,084,334.66
  5. Step 5: Solve for x
    x = 13,703,084,334.66/133,819
  6. Step 6: Final answer
    x = 102,400.14

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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.