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Finding the Fourth Proportional to 187,086.46, 280,724.46 and 81,906.34

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Solution

The fourth proportional to 187,086.46, 280,724.46 and 81,906.34 is: 122,901.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,086.46 : 280,724.46 = 81,906.34 : x
  2. Step 2: Convert to fraction form
    187,086.46/280,724.46 = 81,906.34/x
  3. Step 3: Cross multiply
    187,086.46x = 280,724.46 × 81,906.34
  4. Step 4: Simplify right side
    187,086.46x = 22,993,113,067.08
  5. Step 5: Solve for x
    x = 22,993,113,067.08/187,086.46
  6. Step 6: Final answer
    x = 122,901.00

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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.