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Finding the Fourth Proportional to 192,327.30, 288,461.76 and 67,639.14

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Solution

The fourth proportional to 192,327.30, 288,461.76 and 67,639.14 is: 101,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,327.30 : 288,461.76 = 67,639.14 : x
  2. Step 2: Convert to fraction form
    192,327.30/288,461.76 = 67,639.14/x
  3. Step 3: Cross multiply
    192,327.30x = 288,461.76 × 67,639.14
  4. Step 4: Simplify right side
    192,327.30x = 19,511,305,369.29
  5. Step 5: Solve for x
    x = 19,511,305,369.29/192,327.30
  6. Step 6: Final answer
    x = 101,448.44

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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.