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Finding the Fourth Proportional to 221,321.91, 305,447.89 and 135,331.29

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Solution

The fourth proportional to 221,321.91, 305,447.89 and 135,331.29 is: 186,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,321.91 : 305,447.89 = 135,331.29 : x
  2. Step 2: Convert to fraction form
    221,321.91/305,447.89 = 135,331.29/x
  3. Step 3: Cross multiply
    221,321.91x = 305,447.89 × 135,331.29
  4. Step 4: Simplify right side
    221,321.91x = 41,336,656,981.48
  5. Step 5: Solve for x
    x = 41,336,656,981.48/221,321.91
  6. Step 6: Final answer
    x = 186,771.64

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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.