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Finding the Fourth Proportional to 57,996, 80,034.48 and 31,500

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Solution

The fourth proportional to 57,996, 80,034.48 and 31,500 is: 43,470

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,996 : 80,034.48 = 31,500 : x
  2. Step 2: Convert to fraction form
    57,996/80,034.48 = 31,500/x
  3. Step 3: Cross multiply
    57,996x = 80,034.48 × 31,500
  4. Step 4: Simplify right side
    57,996x = 2,521,086,120
  5. Step 5: Solve for x
    x = 2,521,086,120/57,996
  6. Step 6: Final answer
    x = 43,470

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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.