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Finding the Fourth Proportional to 138,096.80, 206,626.80 and 91,440.80

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Solution

The fourth proportional to 138,096.80, 206,626.80 and 91,440.80 is: 136,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,096.80 : 206,626.80 = 91,440.80 : x
  2. Step 2: Convert to fraction form
    138,096.80/206,626.80 = 91,440.80/x
  3. Step 3: Cross multiply
    138,096.80x = 206,626.80 × 91,440.80
  4. Step 4: Simplify right side
    138,096.80x = 18,894,119,893.44
  5. Step 5: Solve for x
    x = 18,894,119,893.44/138,096.80
  6. Step 6: Final answer
    x = 136,817.94

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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.