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Finding the Fourth Proportional to 235,584, 325,105.92 and 129,600

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Solution

The fourth proportional to 235,584, 325,105.92 and 129,600 is: 178,848

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,584 : 325,105.92 = 129,600 : x
  2. Step 2: Convert to fraction form
    235,584/325,105.92 = 129,600/x
  3. Step 3: Cross multiply
    235,584x = 325,105.92 × 129,600
  4. Step 4: Simplify right side
    235,584x = 42,133,727,232
  5. Step 5: Solve for x
    x = 42,133,727,232/235,584
  6. Step 6: Final answer
    x = 178,848

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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.