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Finding the Fourth Proportional to 221,461.56, 305,616.84 and 120,859.56

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Solution

The fourth proportional to 221,461.56, 305,616.84 and 120,859.56 is: 166,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,461.56 : 305,616.84 = 120,859.56 : x
  2. Step 2: Convert to fraction form
    221,461.56/305,616.84 = 120,859.56/x
  3. Step 3: Cross multiply
    221,461.56x = 305,616.84 × 120,859.56
  4. Step 4: Simplify right side
    221,461.56x = 36,936,716,810.99
  5. Step 5: Solve for x
    x = 36,936,716,810.99/221,461.56
  6. Step 6: Final answer
    x = 166,786.13

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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.