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Finding the Fourth Proportional to 72,614.45, 108,964.31 and 30,491.29

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Solution

The fourth proportional to 72,614.45, 108,964.31 and 30,491.29 is: 45,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,614.45 : 108,964.31 = 30,491.29 : x
  2. Step 2: Convert to fraction form
    72,614.45/108,964.31 = 30,491.29/x
  3. Step 3: Cross multiply
    72,614.45x = 108,964.31 × 30,491.29
  4. Step 4: Simplify right side
    72,614.45x = 3,322,462,223.40
  5. Step 5: Solve for x
    x = 3,322,462,223.40/72,614.45
  6. Step 6: Final answer
    x = 45,754.84

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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.