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Finding the Fourth Proportional to 72,664.64, 109,011.90 and 30,519.92

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Solution

The fourth proportional to 72,664.64, 109,011.90 and 30,519.92 is: 45,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,664.64 : 109,011.90 = 30,519.92 : x
  2. Step 2: Convert to fraction form
    72,664.64/109,011.90 = 30,519.92/x
  3. Step 3: Cross multiply
    72,664.64x = 109,011.90 × 30,519.92
  4. Step 4: Simplify right side
    72,664.64x = 3,327,034,467.05
  5. Step 5: Solve for x
    x = 3,327,034,467.05/72,664.64
  6. Step 6: Final answer
    x = 45,786.15

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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.