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Finding the Fourth Proportional to 273,082.30, 409,623.45 and 86,112.70

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Solution

The fourth proportional to 273,082.30, 409,623.45 and 86,112.70 is: 129,169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,082.30 : 409,623.45 = 86,112.70 : x
  2. Step 2: Convert to fraction form
    273,082.30/409,623.45 = 86,112.70/x
  3. Step 3: Cross multiply
    273,082.30x = 409,623.45 × 86,112.70
  4. Step 4: Simplify right side
    273,082.30x = 35,273,781,262.82
  5. Step 5: Solve for x
    x = 35,273,781,262.82/273,082.30
  6. Step 6: Final answer
    x = 129,169.05

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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.