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Finding the Fourth Proportional to 137,230.69, 206,081.61 and 84,233.88

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Solution

The fourth proportional to 137,230.69, 206,081.61 and 84,233.88 is: 126,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,230.69 : 206,081.61 = 84,233.88 : x
  2. Step 2: Convert to fraction form
    137,230.69/206,081.61 = 84,233.88/x
  3. Step 3: Cross multiply
    137,230.69x = 206,081.61 × 84,233.88
  4. Step 4: Simplify right side
    137,230.69x = 17,359,052,576.54
  5. Step 5: Solve for x
    x = 17,359,052,576.54/137,230.69
  6. Step 6: Final answer
    x = 126,495.41

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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.