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Finding the Fourth Proportional to 120,991.71, 166,944.63 and 73,249.50

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Solution

The fourth proportional to 120,991.71, 166,944.63 and 73,249.50 is: 101,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,991.71 : 166,944.63 = 73,249.50 : x
  2. Step 2: Convert to fraction form
    120,991.71/166,944.63 = 73,249.50/x
  3. Step 3: Cross multiply
    120,991.71x = 166,944.63 × 73,249.50
  4. Step 4: Simplify right side
    120,991.71x = 12,228,610,675.19
  5. Step 5: Solve for x
    x = 12,228,610,675.19/120,991.71
  6. Step 6: Final answer
    x = 101,069.82

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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.