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Finding the Fourth Proportional to 256,723.84, 384,989.88 and 88,196.32

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Solution

The fourth proportional to 256,723.84, 384,989.88 and 88,196.32 is: 132,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,723.84 : 384,989.88 = 88,196.32 : x
  2. Step 2: Convert to fraction form
    256,723.84/384,989.88 = 88,196.32/x
  3. Step 3: Cross multiply
    256,723.84x = 384,989.88 × 88,196.32
  4. Step 4: Simplify right side
    256,723.84x = 33,954,690,653.24
  5. Step 5: Solve for x
    x = 33,954,690,653.24/256,723.84
  6. Step 6: Final answer
    x = 132,261.54

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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.