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Finding the Fourth Proportional to 120,901.16, 166,847.80 and 67,188.44

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Solution

The fourth proportional to 120,901.16, 166,847.80 and 67,188.44 is: 92,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,901.16 : 166,847.80 = 67,188.44 : x
  2. Step 2: Convert to fraction form
    120,901.16/166,847.80 = 67,188.44/x
  3. Step 3: Cross multiply
    120,901.16x = 166,847.80 × 67,188.44
  4. Step 4: Simplify right side
    120,901.16x = 11,210,243,399.43
  5. Step 5: Solve for x
    x = 11,210,243,399.43/120,901.16
  6. Step 6: Final answer
    x = 92,722.38

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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.