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Finding the Fourth Proportional to 256,082.09, 384,123.20 and 87,604.02

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Solution

The fourth proportional to 256,082.09, 384,123.20 and 87,604.02 is: 131,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,082.09 : 384,123.20 = 87,604.02 : x
  2. Step 2: Convert to fraction form
    256,082.09/384,123.20 = 87,604.02/x
  3. Step 3: Cross multiply
    256,082.09x = 384,123.20 × 87,604.02
  4. Step 4: Simplify right side
    256,082.09x = 33,650,736,057.24
  5. Step 5: Solve for x
    x = 33,650,736,057.24/256,082.09
  6. Step 6: Final answer
    x = 131,406.05

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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.