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Finding the Fourth Proportional to 279,725.94, 419,490.09 and 90,178.65

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Solution

The fourth proportional to 279,725.94, 419,490.09 and 90,178.65 is: 135,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,725.94 : 419,490.09 = 90,178.65 : x
  2. Step 2: Convert to fraction form
    279,725.94/419,490.09 = 90,178.65/x
  3. Step 3: Cross multiply
    279,725.94x = 419,490.09 × 90,178.65
  4. Step 4: Simplify right side
    279,725.94x = 37,829,050,004.58
  5. Step 5: Solve for x
    x = 37,829,050,004.58/279,725.94
  6. Step 6: Final answer
    x = 135,236.12

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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.