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Finding the Fourth Proportional to 120,406.96, 166,163.32 and 69,418.68

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Solution

The fourth proportional to 120,406.96, 166,163.32 and 69,418.68 is: 95,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,406.96 : 166,163.32 = 69,418.68 : x
  2. Step 2: Convert to fraction form
    120,406.96/166,163.32 = 69,418.68/x
  3. Step 3: Cross multiply
    120,406.96x = 166,163.32 × 69,418.68
  4. Step 4: Simplify right side
    120,406.96x = 11,534,838,338.82
  5. Step 5: Solve for x
    x = 11,534,838,338.82/120,406.96
  6. Step 6: Final answer
    x = 95,798.77

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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.