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Finding the Fourth Proportional to 192,072.51, 288,101.43 and 51,834.78

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Solution

The fourth proportional to 192,072.51, 288,101.43 and 51,834.78 is: 77,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,072.51 : 288,101.43 = 51,834.78 : x
  2. Step 2: Convert to fraction form
    192,072.51/288,101.43 = 51,834.78/x
  3. Step 3: Cross multiply
    192,072.51x = 288,101.43 × 51,834.78
  4. Step 4: Simplify right side
    192,072.51x = 14,933,674,241.74
  5. Step 5: Solve for x
    x = 14,933,674,241.74/192,072.51
  6. Step 6: Final answer
    x = 77,750.19

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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.