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Finding the Fourth Proportional to 209,684.09, 314,299.92 and 102,943.91

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Solution

The fourth proportional to 209,684.09, 314,299.92 and 102,943.91 is: 154,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,684.09 : 314,299.92 = 102,943.91 : x
  2. Step 2: Convert to fraction form
    209,684.09/314,299.92 = 102,943.91/x
  3. Step 3: Cross multiply
    209,684.09x = 314,299.92 × 102,943.91
  4. Step 4: Simplify right side
    209,684.09x = 32,355,263,559.75
  5. Step 5: Solve for x
    x = 32,355,263,559.75/209,684.09
  6. Step 6: Final answer
    x = 154,304.81

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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.