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Finding the Fourth Proportional to 120,817.14, 166,669.80 and 85,027.02

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Solution

The fourth proportional to 120,817.14, 166,669.80 and 85,027.02 is: 117,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,817.14 : 166,669.80 = 85,027.02 : x
  2. Step 2: Convert to fraction form
    120,817.14/166,669.80 = 85,027.02/x
  3. Step 3: Cross multiply
    120,817.14x = 166,669.80 × 85,027.02
  4. Step 4: Simplify right side
    120,817.14x = 14,171,436,418.00
  5. Step 5: Solve for x
    x = 14,171,436,418.00/120,817.14
  6. Step 6: Final answer
    x = 117,296.57

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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.