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Finding the Fourth Proportional to 256,603.92, 384,906.84 and 88,172.80

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Solution

The fourth proportional to 256,603.92, 384,906.84 and 88,172.80 is: 132,259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,603.92 : 384,906.84 = 88,172.80 : x
  2. Step 2: Convert to fraction form
    256,603.92/384,906.84 = 88,172.80/x
  3. Step 3: Cross multiply
    256,603.92x = 384,906.84 × 88,172.80
  4. Step 4: Simplify right side
    256,603.92x = 33,938,313,821.95
  5. Step 5: Solve for x
    x = 33,938,313,821.95/256,603.92
  6. Step 6: Final answer
    x = 132,259.53

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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.