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Finding the Fourth Proportional to 136,384, 204,578.56 and 37,890.56

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Solution

The fourth proportional to 136,384, 204,578.56 and 37,890.56 is: 56,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,384 : 204,578.56 = 37,890.56 : x
  2. Step 2: Convert to fraction form
    136,384/204,578.56 = 37,890.56/x
  3. Step 3: Cross multiply
    136,384x = 204,578.56 × 37,890.56
  4. Step 4: Simplify right side
    136,384x = 7,751,596,202.39
  5. Step 5: Solve for x
    x = 7,751,596,202.39/136,384
  6. Step 6: Final answer
    x = 56,836.55

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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.