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Finding the Fourth Proportional to 256,167.92, 383,989.35 and 106,495.04

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Solution

The fourth proportional to 256,167.92, 383,989.35 and 106,495.04 is: 159,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,167.92 : 383,989.35 = 106,495.04 : x
  2. Step 2: Convert to fraction form
    256,167.92/383,989.35 = 106,495.04/x
  3. Step 3: Cross multiply
    256,167.92x = 383,989.35 × 106,495.04
  4. Step 4: Simplify right side
    256,167.92x = 40,892,961,187.82
  5. Step 5: Solve for x
    x = 40,892,961,187.82/256,167.92
  6. Step 6: Final answer
    x = 159,633.42

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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.