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Finding the Fourth Proportional to 256,265.82, 384,131.25 and 87,736.50

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Solution

The fourth proportional to 256,265.82, 384,131.25 and 87,736.50 is: 131,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,265.82 : 384,131.25 = 87,736.50 : x
  2. Step 2: Convert to fraction form
    256,265.82/384,131.25 = 87,736.50/x
  3. Step 3: Cross multiply
    256,265.82x = 384,131.25 × 87,736.50
  4. Step 4: Simplify right side
    256,265.82x = 33,702,331,415.63
  5. Step 5: Solve for x
    x = 33,702,331,415.63/256,265.82
  6. Step 6: Final answer
    x = 131,513.17

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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.