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Finding the Fourth Proportional to 268,128.92, 402,193.24 and 68,449.24

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Solution

The fourth proportional to 268,128.92, 402,193.24 and 68,449.24 is: 102,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,128.92 : 402,193.24 = 68,449.24 : x
  2. Step 2: Convert to fraction form
    268,128.92/402,193.24 = 68,449.24/x
  3. Step 3: Cross multiply
    268,128.92x = 402,193.24 × 68,449.24
  4. Step 4: Simplify right side
    268,128.92x = 27,529,821,611.14
  5. Step 5: Solve for x
    x = 27,529,821,611.14/268,128.92
  6. Step 6: Final answer
    x = 102,673.82

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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.