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Finding the Fourth Proportional to 256,785.38, 384,969.38 and 107,137.16

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Solution

The fourth proportional to 256,785.38, 384,969.38 and 107,137.16 is: 160,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,785.38 : 384,969.38 = 107,137.16 : x
  2. Step 2: Convert to fraction form
    256,785.38/384,969.38 = 107,137.16/x
  3. Step 3: Cross multiply
    256,785.38x = 384,969.38 × 107,137.16
  4. Step 4: Simplify right side
    256,785.38x = 41,244,526,060.16
  5. Step 5: Solve for x
    x = 41,244,526,060.16/256,785.38
  6. Step 6: Final answer
    x = 160,618.67

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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.