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Finding the Fourth Proportional to 120,508.94, 166,282.80 and 75,179.72

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Solution

The fourth proportional to 120,508.94, 166,282.80 and 75,179.72 is: 103,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,508.94 : 166,282.80 = 75,179.72 : x
  2. Step 2: Convert to fraction form
    120,508.94/166,282.80 = 75,179.72/x
  3. Step 3: Cross multiply
    120,508.94x = 166,282.80 × 75,179.72
  4. Step 4: Simplify right side
    120,508.94x = 12,501,094,344.82
  5. Step 5: Solve for x
    x = 12,501,094,344.82/120,508.94
  6. Step 6: Final answer
    x = 103,735.83

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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.