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Finding the Fourth Proportional to 57,226.78, 78,972.11 and 31,733.18

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Solution

The fourth proportional to 57,226.78, 78,972.11 and 31,733.18 is: 43,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,226.78 : 78,972.11 = 31,733.18 : x
  2. Step 2: Convert to fraction form
    57,226.78/78,972.11 = 31,733.18/x
  3. Step 3: Cross multiply
    57,226.78x = 78,972.11 × 31,733.18
  4. Step 4: Simplify right side
    57,226.78x = 2,506,036,181.61
  5. Step 5: Solve for x
    x = 2,506,036,181.61/57,226.78
  6. Step 6: Final answer
    x = 43,791.32

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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.