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Finding the Fourth Proportional to 221,207.45, 305,266.58 and 120,605.45

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Solution

The fourth proportional to 221,207.45, 305,266.58 and 120,605.45 is: 166,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,207.45 : 305,266.58 = 120,605.45 : x
  2. Step 2: Convert to fraction form
    221,207.45/305,266.58 = 120,605.45/x
  3. Step 3: Cross multiply
    221,207.45x = 305,266.58 × 120,605.45
  4. Step 4: Simplify right side
    221,207.45x = 36,816,811,121.50
  5. Step 5: Solve for x
    x = 36,816,811,121.50/221,207.45
  6. Step 6: Final answer
    x = 166,435.68

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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.