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Finding the Fourth Proportional to 221,892.56, 332,921.98 and 115,209.92

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Solution

The fourth proportional to 221,892.56, 332,921.98 and 115,209.92 is: 172,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,892.56 : 332,921.98 = 115,209.92 : x
  2. Step 2: Convert to fraction form
    221,892.56/332,921.98 = 115,209.92/x
  3. Step 3: Cross multiply
    221,892.56x = 332,921.98 × 115,209.92
  4. Step 4: Simplify right side
    221,892.56x = 38,355,914,682.04
  5. Step 5: Solve for x
    x = 38,355,914,682.04/221,892.56
  6. Step 6: Final answer
    x = 172,858.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.