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Finding the Fourth Proportional to 112,132, 168,198 and 45,608.32

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Solution

The fourth proportional to 112,132, 168,198 and 45,608.32 is: 68,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,132 : 168,198 = 45,608.32 : x
  2. Step 2: Convert to fraction form
    112,132/168,198 = 45,608.32/x
  3. Step 3: Cross multiply
    112,132x = 168,198 × 45,608.32
  4. Step 4: Simplify right side
    112,132x = 7,671,228,207.36
  5. Step 5: Solve for x
    x = 7,671,228,207.36/112,132
  6. Step 6: Final answer
    x = 68,412.48

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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.