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Finding the Fourth Proportional to 221,540.80, 305,872.56 and 136,782.40

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Solution

The fourth proportional to 221,540.80, 305,872.56 and 136,782.40 is: 188,850.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,540.80 : 305,872.56 = 136,782.40 : x
  2. Step 2: Convert to fraction form
    221,540.80/305,872.56 = 136,782.40/x
  3. Step 3: Cross multiply
    221,540.80x = 305,872.56 × 136,782.40
  4. Step 4: Simplify right side
    221,540.80x = 41,837,982,850.94
  5. Step 5: Solve for x
    x = 41,837,982,850.94/221,540.80
  6. Step 6: Final answer
    x = 188,850.01

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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.