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Finding the Fourth Proportional to 189,874.77, 284,644.54 and 71,629.15

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Solution

The fourth proportional to 189,874.77, 284,644.54 and 71,629.15 is: 107,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,874.77 : 284,644.54 = 71,629.15 : x
  2. Step 2: Convert to fraction form
    189,874.77/284,644.54 = 71,629.15/x
  3. Step 3: Cross multiply
    189,874.77x = 284,644.54 × 71,629.15
  4. Step 4: Simplify right side
    189,874.77x = 20,388,844,670.97
  5. Step 5: Solve for x
    x = 20,388,844,670.97/189,874.77
  6. Step 6: Final answer
    x = 107,380.49

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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.