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Finding the Fourth Proportional to 256,082.70, 384,124.05 and 89,849.10

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Solution

The fourth proportional to 256,082.70, 384,124.05 and 89,849.10 is: 134,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,082.70 : 384,124.05 = 89,849.10 : x
  2. Step 2: Convert to fraction form
    256,082.70/384,124.05 = 89,849.10/x
  3. Step 3: Cross multiply
    256,082.70x = 384,124.05 × 89,849.10
  4. Step 4: Simplify right side
    256,082.70x = 34,513,200,180.86
  5. Step 5: Solve for x
    x = 34,513,200,180.86/256,082.70
  6. Step 6: Final answer
    x = 134,773.65

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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.