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Finding the Fourth Proportional to 221,061.56, 305,064.90 and 120,459.56

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Solution

The fourth proportional to 221,061.56, 305,064.90 and 120,459.56 is: 166,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,061.56 : 305,064.90 = 120,459.56 : x
  2. Step 2: Convert to fraction form
    221,061.56/305,064.90 = 120,459.56/x
  3. Step 3: Cross multiply
    221,061.56x = 305,064.90 × 120,459.56
  4. Step 4: Simplify right side
    221,061.56x = 36,747,983,625.44
  5. Step 5: Solve for x
    x = 36,747,983,625.44/221,061.56
  6. Step 6: Final answer
    x = 166,234.16

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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.