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Finding the Fourth Proportional to 232,864, 321,352.32 and 126,880

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Solution

The fourth proportional to 232,864, 321,352.32 and 126,880 is: 175,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,864 : 321,352.32 = 126,880 : x
  2. Step 2: Convert to fraction form
    232,864/321,352.32 = 126,880/x
  3. Step 3: Cross multiply
    232,864x = 321,352.32 × 126,880
  4. Step 4: Simplify right side
    232,864x = 40,773,182,361.60
  5. Step 5: Solve for x
    x = 40,773,182,361.60/232,864
  6. Step 6: Final answer
    x = 175,094.40

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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.