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Finding the Fourth Proportional to 137,775.26, 206,470.42 and 74,458.88

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Solution

The fourth proportional to 137,775.26, 206,470.42 and 74,458.88 is: 111,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,775.26 : 206,470.42 = 74,458.88 : x
  2. Step 2: Convert to fraction form
    137,775.26/206,470.42 = 74,458.88/x
  3. Step 3: Cross multiply
    137,775.26x = 206,470.42 × 74,458.88
  4. Step 4: Simplify right side
    137,775.26x = 15,373,556,226.33
  5. Step 5: Solve for x
    x = 15,373,556,226.33/137,775.26
  6. Step 6: Final answer
    x = 111,584.30

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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.