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Finding the Fourth Proportional to 221,508.27, 305,681.85 and 120,906.27

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Solution

The fourth proportional to 221,508.27, 305,681.85 and 120,906.27 is: 166,850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,508.27 : 305,681.85 = 120,906.27 : x
  2. Step 2: Convert to fraction form
    221,508.27/305,681.85 = 120,906.27/x
  3. Step 3: Cross multiply
    221,508.27x = 305,681.85 × 120,906.27
  4. Step 4: Simplify right side
    221,508.27x = 36,958,852,290.20
  5. Step 5: Solve for x
    x = 36,958,852,290.20/221,508.27
  6. Step 6: Final answer
    x = 166,850.89

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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.