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Finding the Fourth Proportional to 137,405.91, 206,109.32 and 48,662

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Solution

The fourth proportional to 137,405.91, 206,109.32 and 48,662 is: 72,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,405.91 : 206,109.32 = 48,662 : x
  2. Step 2: Convert to fraction form
    137,405.91/206,109.32 = 48,662/x
  3. Step 3: Cross multiply
    137,405.91x = 206,109.32 × 48,662
  4. Step 4: Simplify right side
    137,405.91x = 10,029,691,729.84
  5. Step 5: Solve for x
    x = 10,029,691,729.84/137,405.91
  6. Step 6: Final answer
    x = 72,993.16

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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.