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Finding the Fourth Proportional to 221,668.50, 305,904.48 and 126,181.34

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Solution

The fourth proportional to 221,668.50, 305,904.48 and 126,181.34 is: 174,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,668.50 : 305,904.48 = 126,181.34 : x
  2. Step 2: Convert to fraction form
    221,668.50/305,904.48 = 126,181.34/x
  3. Step 3: Cross multiply
    221,668.50x = 305,904.48 × 126,181.34
  4. Step 4: Simplify right side
    221,668.50x = 38,599,437,198.40
  5. Step 5: Solve for x
    x = 38,599,437,198.40/221,668.50
  6. Step 6: Final answer
    x = 174,131.36

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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.