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Finding the Fourth Proportional to 225,964.71, 311,858.97 and 130,471.20

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Solution

The fourth proportional to 225,964.71, 311,858.97 and 130,471.20 is: 180,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,964.71 : 311,858.97 = 130,471.20 : x
  2. Step 2: Convert to fraction form
    225,964.71/311,858.97 = 130,471.20/x
  3. Step 3: Cross multiply
    225,964.71x = 311,858.97 × 130,471.20
  4. Step 4: Simplify right side
    225,964.71x = 40,688,614,046.66
  5. Step 5: Solve for x
    x = 40,688,614,046.66/225,964.71
  6. Step 6: Final answer
    x = 180,066.23

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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.