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Finding the Fourth Proportional to 57,221.76, 78,966 and 31,728.15

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Solution

The fourth proportional to 57,221.76, 78,966 and 31,728.15 is: 43,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,221.76 : 78,966 = 31,728.15 : x
  2. Step 2: Convert to fraction form
    57,221.76/78,966 = 31,728.15/x
  3. Step 3: Cross multiply
    57,221.76x = 78,966 × 31,728.15
  4. Step 4: Simplify right side
    57,221.76x = 2,505,445,092.90
  5. Step 5: Solve for x
    x = 2,505,445,092.90/57,221.76
  6. Step 6: Final answer
    x = 43,784.83

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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.