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Finding the Fourth Proportional to 209,102.94, 313,812.14 and 96,861.90

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Solution

The fourth proportional to 209,102.94, 313,812.14 and 96,861.90 is: 145,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,102.94 : 313,812.14 = 96,861.90 : x
  2. Step 2: Convert to fraction form
    209,102.94/313,812.14 = 96,861.90/x
  3. Step 3: Cross multiply
    209,102.94x = 313,812.14 × 96,861.90
  4. Step 4: Simplify right side
    209,102.94x = 30,396,439,639.16
  5. Step 5: Solve for x
    x = 30,396,439,639.16/209,102.94
  6. Step 6: Final answer
    x = 145,365.91

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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.