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Finding the Fourth Proportional to 208,968.85, 288,422.94 and 137,355.54

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Solution

The fourth proportional to 208,968.85, 288,422.94 and 137,355.54 is: 189,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,968.85 : 288,422.94 = 137,355.54 : x
  2. Step 2: Convert to fraction form
    208,968.85/288,422.94 = 137,355.54/x
  3. Step 3: Cross multiply
    208,968.85x = 288,422.94 × 137,355.54
  4. Step 4: Simplify right side
    208,968.85x = 39,616,488,672.09
  5. Step 5: Solve for x
    x = 39,616,488,672.09/208,968.85
  6. Step 6: Final answer
    x = 189,580.83

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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.