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Finding the Fourth Proportional to 137,886.72, 206,764.92 and 49,138.80

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Solution

The fourth proportional to 137,886.72, 206,764.92 and 49,138.80 is: 73,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,886.72 : 206,764.92 = 49,138.80 : x
  2. Step 2: Convert to fraction form
    137,886.72/206,764.92 = 49,138.80/x
  3. Step 3: Cross multiply
    137,886.72x = 206,764.92 × 49,138.80
  4. Step 4: Simplify right side
    137,886.72x = 10,160,180,050.90
  5. Step 5: Solve for x
    x = 10,160,180,050.90/137,886.72
  6. Step 6: Final answer
    x = 73,684.98

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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.