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Finding the Fourth Proportional to 57,225.96, 78,970.41 and 31,732.43

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Solution

The fourth proportional to 57,225.96, 78,970.41 and 31,732.43 is: 43,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,225.96 : 78,970.41 = 31,732.43 : x
  2. Step 2: Convert to fraction form
    57,225.96/78,970.41 = 31,732.43/x
  3. Step 3: Cross multiply
    57,225.96x = 78,970.41 × 31,732.43
  4. Step 4: Simplify right side
    57,225.96x = 2,505,922,612.54
  5. Step 5: Solve for x
    x = 2,505,922,612.54/57,225.96
  6. Step 6: Final answer
    x = 43,789.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.