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Finding the Fourth Proportional to 256,971.85, 384,896.42 and 106,756.69

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Solution

The fourth proportional to 256,971.85, 384,896.42 and 106,756.69 is: 159,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,971.85 : 384,896.42 = 106,756.69 : x
  2. Step 2: Convert to fraction form
    256,971.85/384,896.42 = 106,756.69/x
  3. Step 3: Cross multiply
    256,971.85x = 384,896.42 × 106,756.69
  4. Step 4: Simplify right side
    256,971.85x = 41,090,267,258.27
  5. Step 5: Solve for x
    x = 41,090,267,258.27/256,971.85
  6. Step 6: Final answer
    x = 159,901.82

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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.