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Finding the Fourth Proportional to 189,573.82, 284,142.03 and 71,169.64

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Solution

The fourth proportional to 189,573.82, 284,142.03 and 71,169.64 is: 106,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,573.82 : 284,142.03 = 71,169.64 : x
  2. Step 2: Convert to fraction form
    189,573.82/284,142.03 = 71,169.64/x
  3. Step 3: Cross multiply
    189,573.82x = 284,142.03 × 71,169.64
  4. Step 4: Simplify right side
    189,573.82x = 20,222,285,983.97
  5. Step 5: Solve for x
    x = 20,222,285,983.97/189,573.82
  6. Step 6: Final answer
    x = 106,672.36

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1.5x scale

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.