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Finding the Fourth Proportional to 225,859.31, 311,784.87 and 158,141.82

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Solution

The fourth proportional to 225,859.31, 311,784.87 and 158,141.82 is: 218,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,859.31 : 311,784.87 = 158,141.82 : x
  2. Step 2: Convert to fraction form
    225,859.31/311,784.87 = 158,141.82/x
  3. Step 3: Cross multiply
    225,859.31x = 311,784.87 × 158,141.82
  4. Step 4: Simplify right side
    225,859.31x = 49,306,226,353.92
  5. Step 5: Solve for x
    x = 49,306,226,353.92/225,859.31
  6. Step 6: Final answer
    x = 218,305.04

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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.