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Finding the Fourth Proportional to 193,136.60, 289,733.70 and 68,467.80

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Solution

The fourth proportional to 193,136.60, 289,733.70 and 68,467.80 is: 102,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,136.60 : 289,733.70 = 68,467.80 : x
  2. Step 2: Convert to fraction form
    193,136.60/289,733.70 = 68,467.80/x
  3. Step 3: Cross multiply
    193,136.60x = 289,733.70 × 68,467.80
  4. Step 4: Simplify right side
    193,136.60x = 19,837,429,024.86
  5. Step 5: Solve for x
    x = 19,837,429,024.86/193,136.60
  6. Step 6: Final answer
    x = 102,711.91

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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.