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Finding the Fourth Proportional to 101,841, 140,541.54 and 57,129.96

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Solution

The fourth proportional to 101,841, 140,541.54 and 57,129.96 is: 78,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,841 : 140,541.54 = 57,129.96 : x
  2. Step 2: Convert to fraction form
    101,841/140,541.54 = 57,129.96/x
  3. Step 3: Cross multiply
    101,841x = 140,541.54 × 57,129.96
  4. Step 4: Simplify right side
    101,841x = 8,029,132,558.54
  5. Step 5: Solve for x
    x = 8,029,132,558.54/101,841
  6. Step 6: Final answer
    x = 78,839.88

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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.