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Finding the Fourth Proportional to 57,044.56, 78,722 and 31,894.08

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Solution

The fourth proportional to 57,044.56, 78,722 and 31,894.08 is: 44,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,044.56 : 78,722 = 31,894.08 : x
  2. Step 2: Convert to fraction form
    57,044.56/78,722 = 31,894.08/x
  3. Step 3: Cross multiply
    57,044.56x = 78,722 × 31,894.08
  4. Step 4: Simplify right side
    57,044.56x = 2,510,765,765.76
  5. Step 5: Solve for x
    x = 2,510,765,765.76/57,044.56
  6. Step 6: Final answer
    x = 44,014.11

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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.