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Finding the Fourth Proportional to 137,792.20, 206,342.70 and 90,790.60

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Solution

The fourth proportional to 137,792.20, 206,342.70 and 90,790.60 is: 135,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,792.20 : 206,342.70 = 90,790.60 : x
  2. Step 2: Convert to fraction form
    137,792.20/206,342.70 = 90,790.60/x
  3. Step 3: Cross multiply
    137,792.20x = 206,342.70 × 90,790.60
  4. Step 4: Simplify right side
    137,792.20x = 18,733,977,538.62
  5. Step 5: Solve for x
    x = 18,733,977,538.62/137,792.20
  6. Step 6: Final answer
    x = 135,958.19

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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.