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Finding the Fourth Proportional to 213,991.75, 295,257.90 and 126,732.78

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Solution

The fourth proportional to 213,991.75, 295,257.90 and 126,732.78 is: 174,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,991.75 : 295,257.90 = 126,732.78 : x
  2. Step 2: Convert to fraction form
    213,991.75/295,257.90 = 126,732.78/x
  3. Step 3: Cross multiply
    213,991.75x = 295,257.90 × 126,732.78
  4. Step 4: Simplify right side
    213,991.75x = 37,418,854,483.96
  5. Step 5: Solve for x
    x = 37,418,854,483.96/213,991.75
  6. Step 6: Final answer
    x = 174,861.20

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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.