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Finding the Fourth Proportional to 67,166.73, 100,746.44 and 20,415.96

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Solution

The fourth proportional to 67,166.73, 100,746.44 and 20,415.96 is: 30,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,166.73 : 100,746.44 = 20,415.96 : x
  2. Step 2: Convert to fraction form
    67,166.73/100,746.44 = 20,415.96/x
  3. Step 3: Cross multiply
    67,166.73x = 100,746.44 × 20,415.96
  4. Step 4: Simplify right side
    67,166.73x = 2,056,835,289.18
  5. Step 5: Solve for x
    x = 2,056,835,289.18/67,166.73
  6. Step 6: Final answer
    x = 30,622.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.