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Finding the Fourth Proportional to 273,132, 409,770.90 and 86,143.50

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Solution

The fourth proportional to 273,132, 409,770.90 and 86,143.50 is: 129,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,132 : 409,770.90 = 86,143.50 : x
  2. Step 2: Convert to fraction form
    273,132/409,770.90 = 86,143.50/x
  3. Step 3: Cross multiply
    273,132x = 409,770.90 × 86,143.50
  4. Step 4: Simplify right side
    273,132x = 35,299,099,524.15
  5. Step 5: Solve for x
    x = 35,299,099,524.15/273,132
  6. Step 6: Final answer
    x = 129,238.24

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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.