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Finding the Fourth Proportional to 209,790.38, 314,735.38 and 69,549

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Solution

The fourth proportional to 209,790.38, 314,735.38 and 69,549 is: 104,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,790.38 : 314,735.38 = 69,549 : x
  2. Step 2: Convert to fraction form
    209,790.38/314,735.38 = 69,549/x
  3. Step 3: Cross multiply
    209,790.38x = 314,735.38 × 69,549
  4. Step 4: Simplify right side
    209,790.38x = 21,889,530,769.75
  5. Step 5: Solve for x
    x = 21,889,530,769.75/209,790.38
  6. Step 6: Final answer
    x = 104,340.01

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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.