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Finding the Fourth Proportional to 120,468.78, 166,251.24 and 72,712.80

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Solution

The fourth proportional to 120,468.78, 166,251.24 and 72,712.80 is: 100,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,468.78 : 166,251.24 = 72,712.80 : x
  2. Step 2: Convert to fraction form
    120,468.78/166,251.24 = 72,712.80/x
  3. Step 3: Cross multiply
    120,468.78x = 166,251.24 × 72,712.80
  4. Step 4: Simplify right side
    120,468.78x = 12,088,593,163.87
  5. Step 5: Solve for x
    x = 12,088,593,163.87/120,468.78
  6. Step 6: Final answer
    x = 100,346.27

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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.