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Finding the Fourth Proportional to 232,200, 320,436 and 131,604.48

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Solution

The fourth proportional to 232,200, 320,436 and 131,604.48 is: 181,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,200 : 320,436 = 131,604.48 : x
  2. Step 2: Convert to fraction form
    232,200/320,436 = 131,604.48/x
  3. Step 3: Cross multiply
    232,200x = 320,436 × 131,604.48
  4. Step 4: Simplify right side
    232,200x = 42,170,813,153.28
  5. Step 5: Solve for x
    x = 42,170,813,153.28/232,200
  6. Step 6: Final answer
    x = 181,614.18

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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.