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Finding the Fourth Proportional to 137,241.04, 205,832.70 and 38,722

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Solution

The fourth proportional to 137,241.04, 205,832.70 and 38,722 is: 58,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,241.04 : 205,832.70 = 38,722 : x
  2. Step 2: Convert to fraction form
    137,241.04/205,832.70 = 38,722/x
  3. Step 3: Cross multiply
    137,241.04x = 205,832.70 × 38,722
  4. Step 4: Simplify right side
    137,241.04x = 7,970,253,809.40
  5. Step 5: Solve for x
    x = 7,970,253,809.40/137,241.04
  6. Step 6: Final answer
    x = 58,074.86

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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.