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Finding the Fourth Proportional to 101,704.56, 140,359.68 and 61,428.12

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Solution

The fourth proportional to 101,704.56, 140,359.68 and 61,428.12 is: 84,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,704.56 : 140,359.68 = 61,428.12 : x
  2. Step 2: Convert to fraction form
    101,704.56/140,359.68 = 61,428.12/x
  3. Step 3: Cross multiply
    101,704.56x = 140,359.68 × 61,428.12
  4. Step 4: Simplify right side
    101,704.56x = 8,622,031,266.20
  5. Step 5: Solve for x
    x = 8,622,031,266.20/101,704.56
  6. Step 6: Final answer
    x = 84,775.27

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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.