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Finding the Fourth Proportional to 221,510.56, 305,687.76 and 120,906.40

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Solution

The fourth proportional to 221,510.56, 305,687.76 and 120,906.40 is: 166,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,510.56 : 305,687.76 = 120,906.40 : x
  2. Step 2: Convert to fraction form
    221,510.56/305,687.76 = 120,906.40/x
  3. Step 3: Cross multiply
    221,510.56x = 305,687.76 × 120,906.40
  4. Step 4: Simplify right side
    221,510.56x = 36,959,606,585.66
  5. Step 5: Solve for x
    x = 36,959,606,585.66/221,510.56
  6. Step 6: Final answer
    x = 166,852.57

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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.