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Finding the Fourth Proportional to 232,749, 321,193.62 and 126,765

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Solution

The fourth proportional to 232,749, 321,193.62 and 126,765 is: 174,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,749 : 321,193.62 = 126,765 : x
  2. Step 2: Convert to fraction form
    232,749/321,193.62 = 126,765/x
  3. Step 3: Cross multiply
    232,749x = 321,193.62 × 126,765
  4. Step 4: Simplify right side
    232,749x = 40,716,109,239.30
  5. Step 5: Solve for x
    x = 40,716,109,239.30/232,749
  6. Step 6: Final answer
    x = 174,935.70

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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.