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Finding the Fourth Proportional to 137,412.60, 206,234.10 and 67,351.80

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Solution

The fourth proportional to 137,412.60, 206,234.10 and 67,351.80 is: 101,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,412.60 : 206,234.10 = 67,351.80 : x
  2. Step 2: Convert to fraction form
    137,412.60/206,234.10 = 67,351.80/x
  3. Step 3: Cross multiply
    137,412.60x = 206,234.10 × 67,351.80
  4. Step 4: Simplify right side
    137,412.60x = 13,890,237,856.38
  5. Step 5: Solve for x
    x = 13,890,237,856.38/137,412.60
  6. Step 6: Final answer
    x = 101,084.16

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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.