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Finding the Fourth Proportional to 193,029.80, 288,930.30 and 137,733.80

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Solution

The fourth proportional to 193,029.80, 288,930.30 and 137,733.80 is: 206,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,029.80 : 288,930.30 = 137,733.80 : x
  2. Step 2: Convert to fraction form
    193,029.80/288,930.30 = 137,733.80/x
  3. Step 3: Cross multiply
    193,029.80x = 288,930.30 × 137,733.80
  4. Step 4: Simplify right side
    193,029.80x = 39,795,468,154.14
  5. Step 5: Solve for x
    x = 39,795,468,154.14/193,029.80
  6. Step 6: Final answer
    x = 206,162.30

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1.5x scale

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.