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Finding the Fourth Proportional to 256,663.26, 384,736.39 and 106,986.40

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Solution

The fourth proportional to 256,663.26, 384,736.39 and 106,986.40 is: 160,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,663.26 : 384,736.39 = 106,986.40 : x
  2. Step 2: Convert to fraction form
    256,663.26/384,736.39 = 106,986.40/x
  3. Step 3: Cross multiply
    256,663.26x = 384,736.39 × 106,986.40
  4. Step 4: Simplify right side
    256,663.26x = 41,161,561,315.10
  5. Step 5: Solve for x
    x = 41,161,561,315.10/256,663.26
  6. Step 6: Final answer
    x = 160,371.85

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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.