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Finding the Fourth Proportional to 209,790.75, 314,735.94 and 69,549.38

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Solution

The fourth proportional to 209,790.75, 314,735.94 and 69,549.38 is: 104,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,790.75 : 314,735.94 = 69,549.38 : x
  2. Step 2: Convert to fraction form
    209,790.75/314,735.94 = 69,549.38/x
  3. Step 3: Cross multiply
    209,790.75x = 314,735.94 × 69,549.38
  4. Step 4: Simplify right side
    209,790.75x = 21,889,687,917.04
  5. Step 5: Solve for x
    x = 21,889,687,917.04/209,790.75
  6. Step 6: Final answer
    x = 104,340.58

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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.