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Finding the Fourth Proportional to 221,101.56, 305,119.80 and 120,499.56

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Solution

The fourth proportional to 221,101.56, 305,119.80 and 120,499.56 is: 166,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,101.56 : 305,119.80 = 120,499.56 : x
  2. Step 2: Convert to fraction form
    221,101.56/305,119.80 = 120,499.56/x
  3. Step 3: Cross multiply
    221,101.56x = 305,119.80 × 120,499.56
  4. Step 4: Simplify right side
    221,101.56x = 36,766,801,647.29
  5. Step 5: Solve for x
    x = 36,766,801,647.29/221,101.56
  6. Step 6: Final answer
    x = 166,289.20

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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.