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Finding the Fourth Proportional to 101,747.28, 140,410.80 and 57,035.28

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Solution

The fourth proportional to 101,747.28, 140,410.80 and 57,035.28 is: 78,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,747.28 : 140,410.80 = 57,035.28 : x
  2. Step 2: Convert to fraction form
    101,747.28/140,410.80 = 57,035.28/x
  3. Step 3: Cross multiply
    101,747.28x = 140,410.80 × 57,035.28
  4. Step 4: Simplify right side
    101,747.28x = 8,008,369,293.02
  5. Step 5: Solve for x
    x = 8,008,369,293.02/101,747.28
  6. Step 6: Final answer
    x = 78,708.44

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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.