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Finding the Fourth Proportional to 221,698.83, 305,959.82 and 126,205.50

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Solution

The fourth proportional to 221,698.83, 305,959.82 and 126,205.50 is: 174,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,698.83 : 305,959.82 = 126,205.50 : x
  2. Step 2: Convert to fraction form
    221,698.83/305,959.82 = 126,205.50/x
  3. Step 3: Cross multiply
    221,698.83x = 305,959.82 × 126,205.50
  4. Step 4: Simplify right side
    221,698.83x = 38,613,812,063.01
  5. Step 5: Solve for x
    x = 38,613,812,063.01/221,698.83
  6. Step 6: Final answer
    x = 174,172.38

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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.