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Finding the Fourth Proportional to 204,419.70, 306,811.80 and 120,074.40

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Solution

The fourth proportional to 204,419.70, 306,811.80 and 120,074.40 is: 180,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,419.70 : 306,811.80 = 120,074.40 : x
  2. Step 2: Convert to fraction form
    204,419.70/306,811.80 = 120,074.40/x
  3. Step 3: Cross multiply
    204,419.70x = 306,811.80 × 120,074.40
  4. Step 4: Simplify right side
    204,419.70x = 36,840,242,797.92
  5. Step 5: Solve for x
    x = 36,840,242,797.92/204,419.70
  6. Step 6: Final answer
    x = 180,218.65

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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.