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Finding the Fourth Proportional to 137,910.82, 206,673.36 and 74,594.20

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Solution

The fourth proportional to 137,910.82, 206,673.36 and 74,594.20 is: 111,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,910.82 : 206,673.36 = 74,594.20 : x
  2. Step 2: Convert to fraction form
    137,910.82/206,673.36 = 74,594.20/x
  3. Step 3: Cross multiply
    137,910.82x = 206,673.36 × 74,594.20
  4. Step 4: Simplify right side
    137,910.82x = 15,416,633,950.51
  5. Step 5: Solve for x
    x = 15,416,633,950.51/137,910.82
  6. Step 6: Final answer
    x = 111,786.98

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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.