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Finding the Fourth Proportional to 137,682.92, 206,583.55 and 74,548.15

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Solution

The fourth proportional to 137,682.92, 206,583.55 and 74,548.15 is: 111,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,682.92 : 206,583.55 = 74,548.15 : x
  2. Step 2: Convert to fraction form
    137,682.92/206,583.55 = 74,548.15/x
  3. Step 3: Cross multiply
    137,682.92x = 206,583.55 × 74,548.15
  4. Step 4: Simplify right side
    137,682.92x = 15,400,420,770.10
  5. Step 5: Solve for x
    x = 15,400,420,770.10/137,682.92
  6. Step 6: Final answer
    x = 111,854.26

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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.