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Finding the Fourth Proportional to 57,051.56, 78,731.64 and 31,901.06

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Solution

The fourth proportional to 57,051.56, 78,731.64 and 31,901.06 is: 44,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,051.56 : 78,731.64 = 31,901.06 : x
  2. Step 2: Convert to fraction form
    57,051.56/78,731.64 = 31,901.06/x
  3. Step 3: Cross multiply
    57,051.56x = 78,731.64 × 31,901.06
  4. Step 4: Simplify right side
    57,051.56x = 2,511,622,771.54
  5. Step 5: Solve for x
    x = 2,511,622,771.54/57,051.56
  6. Step 6: Final answer
    x = 44,023.74

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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.