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Finding the Fourth Proportional to 225,576, 338,364 and 77,832

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Solution

The fourth proportional to 225,576, 338,364 and 77,832 is: 116,748

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,576 : 338,364 = 77,832 : x
  2. Step 2: Convert to fraction form
    225,576/338,364 = 77,832/x
  3. Step 3: Cross multiply
    225,576x = 338,364 × 77,832
  4. Step 4: Simplify right side
    225,576x = 26,335,546,848
  5. Step 5: Solve for x
    x = 26,335,546,848/225,576
  6. Step 6: Final answer
    x = 116,748

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.