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Finding the Fourth Proportional to 273,132.38, 409,771.46 and 86,143.88

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Solution

The fourth proportional to 273,132.38, 409,771.46 and 86,143.88 is: 129,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,132.38 : 409,771.46 = 86,143.88 : x
  2. Step 2: Convert to fraction form
    273,132.38/409,771.46 = 86,143.88/x
  3. Step 3: Cross multiply
    273,132.38x = 409,771.46 × 86,143.88
  4. Step 4: Simplify right side
    273,132.38x = 35,299,301,644.17
  5. Step 5: Solve for x
    x = 35,299,301,644.17/273,132.38
  6. Step 6: Final answer
    x = 129,238.80

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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.