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Finding the Fourth Proportional to 221,503.59, 305,674.97 and 120,901.59

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Solution

The fourth proportional to 221,503.59, 305,674.97 and 120,901.59 is: 166,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,503.59 : 305,674.97 = 120,901.59 : x
  2. Step 2: Convert to fraction form
    221,503.59/305,674.97 = 120,901.59/x
  3. Step 3: Cross multiply
    221,503.59x = 305,674.97 × 120,901.59
  4. Step 4: Simplify right side
    221,503.59x = 36,956,589,291.69
  5. Step 5: Solve for x
    x = 36,956,589,291.69/221,503.59
  6. Step 6: Final answer
    x = 166,844.20

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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.