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Finding the Fourth Proportional to 192,137.93, 288,217.40 and 79,829.50

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Solution

The fourth proportional to 192,137.93, 288,217.40 and 79,829.50 is: 119,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,137.93 : 288,217.40 = 79,829.50 : x
  2. Step 2: Convert to fraction form
    192,137.93/288,217.40 = 79,829.50/x
  3. Step 3: Cross multiply
    192,137.93x = 288,217.40 × 79,829.50
  4. Step 4: Simplify right side
    192,137.93x = 23,008,249,813.61
  5. Step 5: Solve for x
    x = 23,008,249,813.61/192,137.93
  6. Step 6: Final answer
    x = 119,748.61

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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.