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Finding the Fourth Proportional to 221,568.93, 305,763.54 and 120,966.93

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Solution

The fourth proportional to 221,568.93, 305,763.54 and 120,966.93 is: 166,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,568.93 : 305,763.54 = 120,966.93 : x
  2. Step 2: Convert to fraction form
    221,568.93/305,763.54 = 120,966.93/x
  3. Step 3: Cross multiply
    221,568.93x = 305,763.54 × 120,966.93
  4. Step 4: Simplify right side
    221,568.93x = 36,987,276,739.73
  5. Step 5: Solve for x
    x = 36,987,276,739.73/221,568.93
  6. Step 6: Final answer
    x = 166,933.50

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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.