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Finding the Fourth Proportional to 227,086.81, 313,364.77 and 136,388.88

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Solution

The fourth proportional to 227,086.81, 313,364.77 and 136,388.88 is: 188,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,086.81 : 313,364.77 = 136,388.88 : x
  2. Step 2: Convert to fraction form
    227,086.81/313,364.77 = 136,388.88/x
  3. Step 3: Cross multiply
    227,086.81x = 313,364.77 × 136,388.88
  4. Step 4: Simplify right side
    227,086.81x = 42,739,469,670.79
  5. Step 5: Solve for x
    x = 42,739,469,670.79/227,086.81
  6. Step 6: Final answer
    x = 188,207.63

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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.