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Finding the Fourth Proportional to 102,201.72, 140,998.95 and 75,408.54

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Solution

The fourth proportional to 102,201.72, 140,998.95 and 75,408.54 is: 104,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,201.72 : 140,998.95 = 75,408.54 : x
  2. Step 2: Convert to fraction form
    102,201.72/140,998.95 = 75,408.54/x
  3. Step 3: Cross multiply
    102,201.72x = 140,998.95 × 75,408.54
  4. Step 4: Simplify right side
    102,201.72x = 10,632,524,961.03
  5. Step 5: Solve for x
    x = 10,632,524,961.03/102,201.72
  6. Step 6: Final answer
    x = 104,034.70

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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.