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Finding the Fourth Proportional to 279,709.20, 419,563.80 and 80,036.10

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Solution

The fourth proportional to 279,709.20, 419,563.80 and 80,036.10 is: 120,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,709.20 : 419,563.80 = 80,036.10 : x
  2. Step 2: Convert to fraction form
    279,709.20/419,563.80 = 80,036.10/x
  3. Step 3: Cross multiply
    279,709.20x = 419,563.80 × 80,036.10
  4. Step 4: Simplify right side
    279,709.20x = 33,580,250,253.18
  5. Step 5: Solve for x
    x = 33,580,250,253.18/279,709.20
  6. Step 6: Final answer
    x = 120,054.15

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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.