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Finding the Fourth Proportional to 81,954, 122,960.16 and 40,430.16

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Solution

The fourth proportional to 81,954, 122,960.16 and 40,430.16 is: 60,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,954 : 122,960.16 = 40,430.16 : x
  2. Step 2: Convert to fraction form
    81,954/122,960.16 = 40,430.16/x
  3. Step 3: Cross multiply
    81,954x = 122,960.16 × 40,430.16
  4. Step 4: Simplify right side
    81,954x = 4,971,298,942.43
  5. Step 5: Solve for x
    x = 4,971,298,942.43/81,954
  6. Step 6: Final answer
    x = 60,659.63

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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.