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Finding the Fourth Proportional to 225,395.14, 311,052.70 and 123,424.88

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Solution

The fourth proportional to 225,395.14, 311,052.70 and 123,424.88 is: 170,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,395.14 : 311,052.70 = 123,424.88 : x
  2. Step 2: Convert to fraction form
    225,395.14/311,052.70 = 123,424.88/x
  3. Step 3: Cross multiply
    225,395.14x = 311,052.70 × 123,424.88
  4. Step 4: Simplify right side
    225,395.14x = 38,391,642,171.18
  5. Step 5: Solve for x
    x = 38,391,642,171.18/225,395.14
  6. Step 6: Final answer
    x = 170,330.39

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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.