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Finding the Fourth Proportional to 234,180, 351,270 and 86,436

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Solution

The fourth proportional to 234,180, 351,270 and 86,436 is: 129,654

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,180 : 351,270 = 86,436 : x
  2. Step 2: Convert to fraction form
    234,180/351,270 = 86,436/x
  3. Step 3: Cross multiply
    234,180x = 351,270 × 86,436
  4. Step 4: Simplify right side
    234,180x = 30,362,373,720
  5. Step 5: Solve for x
    x = 30,362,373,720/234,180
  6. Step 6: Final answer
    x = 129,654

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.