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Finding the Fourth Proportional to 268,017.82, 402,037.66 and 68,343.38

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Solution

The fourth proportional to 268,017.82, 402,037.66 and 68,343.38 is: 102,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,017.82 : 402,037.66 = 68,343.38 : x
  2. Step 2: Convert to fraction form
    268,017.82/402,037.66 = 68,343.38/x
  3. Step 3: Cross multiply
    268,017.82x = 402,037.66 × 68,343.38
  4. Step 4: Simplify right side
    268,017.82x = 27,476,612,571.69
  5. Step 5: Solve for x
    x = 27,476,612,571.69/268,017.82
  6. Step 6: Final answer
    x = 102,517.86

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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.