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Finding the Fourth Proportional to 133,904, 184,796.16 and 74,288

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Solution

The fourth proportional to 133,904, 184,796.16 and 74,288 is: 102,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,904 : 184,796.16 = 74,288 : x
  2. Step 2: Convert to fraction form
    133,904/184,796.16 = 74,288/x
  3. Step 3: Cross multiply
    133,904x = 184,796.16 × 74,288
  4. Step 4: Simplify right side
    133,904x = 13,728,137,134.08
  5. Step 5: Solve for x
    x = 13,728,137,134.08/133,904
  6. Step 6: Final answer
    x = 102,522.23

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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.