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Finding the Fourth Proportional to 222,387.69, 306,872.10 and 126,876

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Solution

The fourth proportional to 222,387.69, 306,872.10 and 126,876 is: 175,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,387.69 : 306,872.10 = 126,876 : x
  2. Step 2: Convert to fraction form
    222,387.69/306,872.10 = 126,876/x
  3. Step 3: Cross multiply
    222,387.69x = 306,872.10 × 126,876
  4. Step 4: Simplify right side
    222,387.69x = 38,934,704,559.60
  5. Step 5: Solve for x
    x = 38,934,704,559.60/222,387.69
  6. Step 6: Final answer
    x = 175,075.81

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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.