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Finding the Fourth Proportional to 165,408, 248,112 and 54,608.64

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Solution

The fourth proportional to 165,408, 248,112 and 54,608.64 is: 81,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,408 : 248,112 = 54,608.64 : x
  2. Step 2: Convert to fraction form
    165,408/248,112 = 54,608.64/x
  3. Step 3: Cross multiply
    165,408x = 248,112 × 54,608.64
  4. Step 4: Simplify right side
    165,408x = 13,549,058,887.68
  5. Step 5: Solve for x
    x = 13,549,058,887.68/165,408
  6. Step 6: Final answer
    x = 81,912.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.