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Finding the Fourth Proportional to 73,149.16, 109,728 and 20,562.72

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Solution

The fourth proportional to 73,149.16, 109,728 and 20,562.72 is: 30,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,149.16 : 109,728 = 20,562.72 : x
  2. Step 2: Convert to fraction form
    73,149.16/109,728 = 20,562.72/x
  3. Step 3: Cross multiply
    73,149.16x = 109,728 × 20,562.72
  4. Step 4: Simplify right side
    73,149.16x = 2,256,306,140.16
  5. Step 5: Solve for x
    x = 2,256,306,140.16/73,149.16
  6. Step 6: Final answer
    x = 30,845.28

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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.