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Finding the Fourth Proportional to 225,783.91, 311,463.20 and 135,112.94

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Solution

The fourth proportional to 225,783.91, 311,463.20 and 135,112.94 is: 186,384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,783.91 : 311,463.20 = 135,112.94 : x
  2. Step 2: Convert to fraction form
    225,783.91/311,463.20 = 135,112.94/x
  3. Step 3: Cross multiply
    225,783.91x = 311,463.20 × 135,112.94
  4. Step 4: Simplify right side
    225,783.91x = 42,082,707,346.27
  5. Step 5: Solve for x
    x = 42,082,707,346.27/225,783.91
  6. Step 6: Final answer
    x = 186,384.89

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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.