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Finding the Fourth Proportional to 256,662.72, 385,025.76 and 88,217.28

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Solution

The fourth proportional to 256,662.72, 385,025.76 and 88,217.28 is: 132,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,662.72 : 385,025.76 = 88,217.28 : x
  2. Step 2: Convert to fraction form
    256,662.72/385,025.76 = 88,217.28/x
  3. Step 3: Cross multiply
    256,662.72x = 385,025.76 × 88,217.28
  4. Step 4: Simplify right side
    256,662.72x = 33,965,925,277.13
  5. Step 5: Solve for x
    x = 33,965,925,277.13/256,662.72
  6. Step 6: Final answer
    x = 132,336.81

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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.