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Finding the Fourth Proportional to 137,886.49, 206,654.78 and 71,314.21

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Solution

The fourth proportional to 137,886.49, 206,654.78 and 71,314.21 is: 106,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,886.49 : 206,654.78 = 71,314.21 : x
  2. Step 2: Convert to fraction form
    137,886.49/206,654.78 = 71,314.21/x
  3. Step 3: Cross multiply
    137,886.49x = 206,654.78 × 71,314.21
  4. Step 4: Simplify right side
    137,886.49x = 14,737,422,021.85
  5. Step 5: Solve for x
    x = 14,737,422,021.85/137,886.49
  6. Step 6: Final answer
    x = 106,880.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.