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Finding the Fourth Proportional to 256,163.92, 384,237.68 and 115,922.54

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Solution

The fourth proportional to 256,163.92, 384,237.68 and 115,922.54 is: 173,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,163.92 : 384,237.68 = 115,922.54 : x
  2. Step 2: Convert to fraction form
    256,163.92/384,237.68 = 115,922.54/x
  3. Step 3: Cross multiply
    256,163.92x = 384,237.68 × 115,922.54
  4. Step 4: Simplify right side
    256,163.92x = 44,541,808,210.29
  5. Step 5: Solve for x
    x = 44,541,808,210.29/256,163.92
  6. Step 6: Final answer
    x = 173,880.10

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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.