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Finding the Fourth Proportional to 256,735.50, 384,962.28 and 88,161.54

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Solution

The fourth proportional to 256,735.50, 384,962.28 and 88,161.54 is: 132,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,735.50 : 384,962.28 = 88,161.54 : x
  2. Step 2: Convert to fraction form
    256,735.50/384,962.28 = 88,161.54/x
  3. Step 3: Cross multiply
    256,735.50x = 384,962.28 × 88,161.54
  4. Step 4: Simplify right side
    256,735.50x = 33,938,867,446.71
  5. Step 5: Solve for x
    x = 33,938,867,446.71/256,735.50
  6. Step 6: Final answer
    x = 132,193.90

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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.