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Finding the Fourth Proportional to 209,313.30, 313,926.03 and 69,039.06

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Solution

The fourth proportional to 209,313.30, 313,926.03 and 69,039.06 is: 103,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,313.30 : 313,926.03 = 69,039.06 : x
  2. Step 2: Convert to fraction form
    209,313.30/313,926.03 = 69,039.06/x
  3. Step 3: Cross multiply
    209,313.30x = 313,926.03 × 69,039.06
  4. Step 4: Simplify right side
    209,313.30x = 21,673,158,020.73
  5. Step 5: Solve for x
    x = 21,673,158,020.73/209,313.30
  6. Step 6: Final answer
    x = 103,544.10

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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.