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Finding the Fourth Proportional to 239,682, 330,761.16 and 133,698

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Solution

The fourth proportional to 239,682, 330,761.16 and 133,698 is: 184,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,682 : 330,761.16 = 133,698 : x
  2. Step 2: Convert to fraction form
    239,682/330,761.16 = 133,698/x
  3. Step 3: Cross multiply
    239,682x = 330,761.16 × 133,698
  4. Step 4: Simplify right side
    239,682x = 44,222,105,569.68
  5. Step 5: Solve for x
    x = 44,222,105,569.68/239,682
  6. Step 6: Final answer
    x = 184,503.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.