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Finding the Fourth Proportional to 225,731.94, 311,402.75 and 135,069.65

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Solution

The fourth proportional to 225,731.94, 311,402.75 and 135,069.65 is: 186,331.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,731.94 : 311,402.75 = 135,069.65 : x
  2. Step 2: Convert to fraction form
    225,731.94/311,402.75 = 135,069.65/x
  3. Step 3: Cross multiply
    225,731.94x = 311,402.75 × 135,069.65
  4. Step 4: Simplify right side
    225,731.94x = 42,061,059,386.94
  5. Step 5: Solve for x
    x = 42,061,059,386.94/225,731.94
  6. Step 6: Final answer
    x = 186,331.89

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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.