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Finding the Fourth Proportional to 120,902.64, 166,849.70 and 67,189.92

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Solution

The fourth proportional to 120,902.64, 166,849.70 and 67,189.92 is: 92,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,902.64 : 166,849.70 = 67,189.92 : x
  2. Step 2: Convert to fraction form
    120,902.64/166,849.70 = 67,189.92/x
  3. Step 3: Cross multiply
    120,902.64x = 166,849.70 × 67,189.92
  4. Step 4: Simplify right side
    120,902.64x = 11,210,617,659.07
  5. Step 5: Solve for x
    x = 11,210,617,659.07/120,902.64
  6. Step 6: Final answer
    x = 92,724.34

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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.