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Finding the Fourth Proportional to 81,884.66, 122,832.67 and 31,948.16

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Solution

The fourth proportional to 81,884.66, 122,832.67 and 31,948.16 is: 47,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,884.66 : 122,832.67 = 31,948.16 : x
  2. Step 2: Convert to fraction form
    81,884.66/122,832.67 = 31,948.16/x
  3. Step 3: Cross multiply
    81,884.66x = 122,832.67 × 31,948.16
  4. Step 4: Simplify right side
    81,884.66x = 3,924,278,021.60
  5. Step 5: Solve for x
    x = 3,924,278,021.60/81,884.66
  6. Step 6: Final answer
    x = 47,924.46

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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.