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Finding the Fourth Proportional to 235,191, 324,563.58 and 129,207

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Solution

The fourth proportional to 235,191, 324,563.58 and 129,207 is: 178,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,191 : 324,563.58 = 129,207 : x
  2. Step 2: Convert to fraction form
    235,191/324,563.58 = 129,207/x
  3. Step 3: Cross multiply
    235,191x = 324,563.58 × 129,207
  4. Step 4: Simplify right side
    235,191x = 41,935,886,481.06
  5. Step 5: Solve for x
    x = 41,935,886,481.06/235,191
  6. Step 6: Final answer
    x = 178,305.66

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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.