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Finding the Fourth Proportional to 235,200, 324,576 and 129,216

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Solution

The fourth proportional to 235,200, 324,576 and 129,216 is: 178,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,200 : 324,576 = 129,216 : x
  2. Step 2: Convert to fraction form
    235,200/324,576 = 129,216/x
  3. Step 3: Cross multiply
    235,200x = 324,576 × 129,216
  4. Step 4: Simplify right side
    235,200x = 41,940,412,416
  5. Step 5: Solve for x
    x = 41,940,412,416/235,200
  6. Step 6: Final answer
    x = 178,318.08

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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.