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Finding the Fourth Proportional to 268,159.92, 402,239.82 and 68,473.22

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Solution

The fourth proportional to 268,159.92, 402,239.82 and 68,473.22 is: 102,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,159.92 : 402,239.82 = 68,473.22 : x
  2. Step 2: Convert to fraction form
    268,159.92/402,239.82 = 68,473.22/x
  3. Step 3: Cross multiply
    268,159.92x = 402,239.82 × 68,473.22
  4. Step 4: Simplify right side
    268,159.92x = 27,542,655,687.62
  5. Step 5: Solve for x
    x = 27,542,655,687.62/268,159.92
  6. Step 6: Final answer
    x = 102,709.81

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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.