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Finding the Fourth Proportional to 120,650.28, 166,501.83 and 72,894.39

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Solution

The fourth proportional to 120,650.28, 166,501.83 and 72,894.39 is: 100,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,650.28 : 166,501.83 = 72,894.39 : x
  2. Step 2: Convert to fraction form
    120,650.28/166,501.83 = 72,894.39/x
  3. Step 3: Cross multiply
    120,650.28x = 166,501.83 × 72,894.39
  4. Step 4: Simplify right side
    120,650.28x = 12,137,049,331.73
  5. Step 5: Solve for x
    x = 12,137,049,331.73/120,650.28
  6. Step 6: Final answer
    x = 100,596.94

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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.