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Finding the Fourth Proportional to 225,807.76, 311,619 and 123,827.14

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Solution

The fourth proportional to 225,807.76, 311,619 and 123,827.14 is: 170,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,807.76 : 311,619 = 123,827.14 : x
  2. Step 2: Convert to fraction form
    225,807.76/311,619 = 123,827.14/x
  3. Step 3: Cross multiply
    225,807.76x = 311,619 × 123,827.14
  4. Step 4: Simplify right side
    225,807.76x = 38,586,889,539.66
  5. Step 5: Solve for x
    x = 38,586,889,539.66/225,807.76
  6. Step 6: Final answer
    x = 170,883.81

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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.