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Finding the Fourth Proportional to 209,647.96, 289,274.68 and 123,634

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Solution

The fourth proportional to 209,647.96, 289,274.68 and 123,634 is: 170,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,647.96 : 289,274.68 = 123,634 : x
  2. Step 2: Convert to fraction form
    209,647.96/289,274.68 = 123,634/x
  3. Step 3: Cross multiply
    209,647.96x = 289,274.68 × 123,634
  4. Step 4: Simplify right side
    209,647.96x = 35,764,185,787.12
  5. Step 5: Solve for x
    x = 35,764,185,787.12/209,647.96
  6. Step 6: Final answer
    x = 170,591.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.