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Finding the Fourth Proportional to 133,872, 184,752 and 74,256

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Solution

The fourth proportional to 133,872, 184,752 and 74,256 is: 102,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,872 : 184,752 = 74,256 : x
  2. Step 2: Convert to fraction form
    133,872/184,752 = 74,256/x
  3. Step 3: Cross multiply
    133,872x = 184,752 × 74,256
  4. Step 4: Simplify right side
    133,872x = 13,718,944,512
  5. Step 5: Solve for x
    x = 13,718,944,512/133,872
  6. Step 6: Final answer
    x = 102,478.07

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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.