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Finding the Fourth Proportional to 225,817.56, 311,642 and 130,330.39

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Solution

The fourth proportional to 225,817.56, 311,642 and 130,330.39 is: 179,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,817.56 : 311,642 = 130,330.39 : x
  2. Step 2: Convert to fraction form
    225,817.56/311,642 = 130,330.39/x
  3. Step 3: Cross multiply
    225,817.56x = 311,642 × 130,330.39
  4. Step 4: Simplify right side
    225,817.56x = 40,616,423,400.38
  5. Step 5: Solve for x
    x = 40,616,423,400.38/225,817.56
  6. Step 6: Final answer
    x = 179,863.88

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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.