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Finding the Fourth Proportional to 208,609.44, 287,805.60 and 137,028

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Solution

The fourth proportional to 208,609.44, 287,805.60 and 137,028 is: 189,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,609.44 : 287,805.60 = 137,028 : x
  2. Step 2: Convert to fraction form
    208,609.44/287,805.60 = 137,028/x
  3. Step 3: Cross multiply
    208,609.44x = 287,805.60 × 137,028
  4. Step 4: Simplify right side
    208,609.44x = 39,437,425,756.80
  5. Step 5: Solve for x
    x = 39,437,425,756.80/208,609.44
  6. Step 6: Final answer
    x = 189,049.09

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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.