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Finding the Fourth Proportional to 280,072.94, 420,107.25 and 69,709.46

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Solution

The fourth proportional to 280,072.94, 420,107.25 and 69,709.46 is: 104,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,072.94 : 420,107.25 = 69,709.46 : x
  2. Step 2: Convert to fraction form
    280,072.94/420,107.25 = 69,709.46/x
  3. Step 3: Cross multiply
    280,072.94x = 420,107.25 × 69,709.46
  4. Step 4: Simplify right side
    280,072.94x = 29,285,449,539.59
  5. Step 5: Solve for x
    x = 29,285,449,539.59/280,072.94
  6. Step 6: Final answer
    x = 104,563.65

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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.