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Finding the Fourth Proportional to 306,082.82, 459,123.62 and 81,443.25

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Solution

The fourth proportional to 306,082.82, 459,123.62 and 81,443.25 is: 122,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,082.82 : 459,123.62 = 81,443.25 : x
  2. Step 2: Convert to fraction form
    306,082.82/459,123.62 = 81,443.25/x
  3. Step 3: Cross multiply
    306,082.82x = 459,123.62 × 81,443.25
  4. Step 4: Simplify right side
    306,082.82x = 37,392,519,357.35
  5. Step 5: Solve for x
    x = 37,392,519,357.35/306,082.82
  6. Step 6: Final answer
    x = 122,164.71

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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.