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Finding the Fourth Proportional to 167,137.32, 230,481.54 and 100,108.20

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Solution

The fourth proportional to 167,137.32, 230,481.54 and 100,108.20 is: 138,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,137.32 : 230,481.54 = 100,108.20 : x
  2. Step 2: Convert to fraction form
    167,137.32/230,481.54 = 100,108.20/x
  3. Step 3: Cross multiply
    167,137.32x = 230,481.54 × 100,108.20
  4. Step 4: Simplify right side
    167,137.32x = 23,073,092,102.63
  5. Step 5: Solve for x
    x = 23,073,092,102.63/167,137.32
  6. Step 6: Final answer
    x = 138,048.71

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1.5x scale

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.