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Finding the Fourth Proportional to 192,709.73, 288,992.77 and 66,314.63

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Solution

The fourth proportional to 192,709.73, 288,992.77 and 66,314.63 is: 99,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,709.73 : 288,992.77 = 66,314.63 : x
  2. Step 2: Convert to fraction form
    192,709.73/288,992.77 = 66,314.63/x
  3. Step 3: Cross multiply
    192,709.73x = 288,992.77 × 66,314.63
  4. Step 4: Simplify right side
    192,709.73x = 19,164,448,461.22
  5. Step 5: Solve for x
    x = 19,164,448,461.22/192,709.73
  6. Step 6: Final answer
    x = 99,447.23

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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.