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Finding the Fourth Proportional to 75,619.75, 113,429.64 and 20,215.75

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Solution

The fourth proportional to 75,619.75, 113,429.64 and 20,215.75 is: 30,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,619.75 : 113,429.64 = 20,215.75 : x
  2. Step 2: Convert to fraction form
    75,619.75/113,429.64 = 20,215.75/x
  3. Step 3: Cross multiply
    75,619.75x = 113,429.64 × 20,215.75
  4. Step 4: Simplify right side
    75,619.75x = 2,293,065,244.83
  5. Step 5: Solve for x
    x = 2,293,065,244.83/75,619.75
  6. Step 6: Final answer
    x = 30,323.63

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1.5x scale

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.