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Finding the Fourth Proportional to 225,828, 311,639.04 and 123,855.84

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Solution

The fourth proportional to 225,828, 311,639.04 and 123,855.84 is: 170,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,828 : 311,639.04 = 123,855.84 : x
  2. Step 2: Convert to fraction form
    225,828/311,639.04 = 123,855.84/x
  3. Step 3: Cross multiply
    225,828x = 311,639.04 × 123,855.84
  4. Step 4: Simplify right side
    225,828x = 38,598,315,075.99
  5. Step 5: Solve for x
    x = 38,598,315,075.99/225,828
  6. Step 6: Final answer
    x = 170,919.08

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1.5x scale

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.