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Finding the Fourth Proportional to 209,102.06, 313,810.82 and 96,861.03

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Solution

The fourth proportional to 209,102.06, 313,810.82 and 96,861.03 is: 145,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,102.06 : 313,810.82 = 96,861.03 : x
  2. Step 2: Convert to fraction form
    209,102.06/313,810.82 = 96,861.03/x
  3. Step 3: Cross multiply
    209,102.06x = 313,810.82 × 96,861.03
  4. Step 4: Simplify right side
    209,102.06x = 30,396,039,250.34
  5. Step 5: Solve for x
    x = 30,396,039,250.34/209,102.06
  6. Step 6: Final answer
    x = 145,364.61

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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.