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Finding the Fourth Proportional to 78,469.13, 117,755.53 and 36,919.37

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Solution

The fourth proportional to 78,469.13, 117,755.53 and 36,919.37 is: 55,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,469.13 : 117,755.53 = 36,919.37 : x
  2. Step 2: Convert to fraction form
    78,469.13/117,755.53 = 36,919.37/x
  3. Step 3: Cross multiply
    78,469.13x = 117,755.53 × 36,919.37
  4. Step 4: Simplify right side
    78,469.13x = 4,347,459,392.84
  5. Step 5: Solve for x
    x = 4,347,459,392.84/78,469.13
  6. Step 6: Final answer
    x = 55,403.44

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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.