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Finding the Fourth Proportional to 72,902.64, 109,353.94 and 20,311.96

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Solution

The fourth proportional to 72,902.64, 109,353.94 and 20,311.96 is: 30,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,902.64 : 109,353.94 = 20,311.96 : x
  2. Step 2: Convert to fraction form
    72,902.64/109,353.94 = 20,311.96/x
  3. Step 3: Cross multiply
    72,902.64x = 109,353.94 × 20,311.96
  4. Step 4: Simplify right side
    72,902.64x = 2,221,192,855.12
  5. Step 5: Solve for x
    x = 2,221,192,855.12/72,902.64
  6. Step 6: Final answer
    x = 30,467.93

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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.