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Finding the Fourth Proportional to 65,118.97, 89,835.67 and 38,249.37

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Solution

The fourth proportional to 65,118.97, 89,835.67 and 38,249.37 is: 52,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,118.97 : 89,835.67 = 38,249.37 : x
  2. Step 2: Convert to fraction form
    65,118.97/89,835.67 = 38,249.37/x
  3. Step 3: Cross multiply
    65,118.97x = 89,835.67 × 38,249.37
  4. Step 4: Simplify right side
    65,118.97x = 3,436,157,781.03
  5. Step 5: Solve for x
    x = 3,436,157,781.03/65,118.97
  6. Step 6: Final answer
    x = 52,767.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.