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Finding the Fourth Proportional to 225,713.04, 311,472 and 130,214.04

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Solution

The fourth proportional to 225,713.04, 311,472 and 130,214.04 is: 179,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,713.04 : 311,472 = 130,214.04 : x
  2. Step 2: Convert to fraction form
    225,713.04/311,472 = 130,214.04/x
  3. Step 3: Cross multiply
    225,713.04x = 311,472 × 130,214.04
  4. Step 4: Simplify right side
    225,713.04x = 40,558,027,466.88
  5. Step 5: Solve for x
    x = 40,558,027,466.88/225,713.04
  6. Step 6: Final answer
    x = 179,688.46

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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.