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Finding the Fourth Proportional to 137,809.93, 206,773.40 and 66,785.44

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Solution

The fourth proportional to 137,809.93, 206,773.40 and 66,785.44 is: 100,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,809.93 : 206,773.40 = 66,785.44 : x
  2. Step 2: Convert to fraction form
    137,809.93/206,773.40 = 66,785.44/x
  3. Step 3: Cross multiply
    137,809.93x = 206,773.40 × 66,785.44
  4. Step 4: Simplify right side
    137,809.93x = 13,809,451,640.41
  5. Step 5: Solve for x
    x = 13,809,451,640.41/137,809.93
  6. Step 6: Final answer
    x = 100,206.51

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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.