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Finding the Fourth Proportional to 268,098.70, 402,147.87 and 68,419.15

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Solution

The fourth proportional to 268,098.70, 402,147.87 and 68,419.15 is: 102,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,098.70 : 402,147.87 = 68,419.15 : x
  2. Step 2: Convert to fraction form
    268,098.70/402,147.87 = 68,419.15/x
  3. Step 3: Cross multiply
    268,098.70x = 402,147.87 × 68,419.15
  4. Step 4: Simplify right side
    268,098.70x = 27,514,615,439.71
  5. Step 5: Solve for x
    x = 27,514,615,439.71/268,098.70
  6. Step 6: Final answer
    x = 102,628.68

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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.