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Finding the Fourth Proportional to 133,944, 184,843.20 and 74,328

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Solution

The fourth proportional to 133,944, 184,843.20 and 74,328 is: 102,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,944 : 184,843.20 = 74,328 : x
  2. Step 2: Convert to fraction form
    133,944/184,843.20 = 74,328/x
  3. Step 3: Cross multiply
    133,944x = 184,843.20 × 74,328
  4. Step 4: Simplify right side
    133,944x = 13,739,025,369.60
  5. Step 5: Solve for x
    x = 13,739,025,369.60/133,944
  6. Step 6: Final answer
    x = 102,572.91

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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.