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Finding the Fourth Proportional to 187,112.40, 280,763.40 and 81,932.40

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Solution

The fourth proportional to 187,112.40, 280,763.40 and 81,932.40 is: 122,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,112.40 : 280,763.40 = 81,932.40 : x
  2. Step 2: Convert to fraction form
    187,112.40/280,763.40 = 81,932.40/x
  3. Step 3: Cross multiply
    187,112.40x = 280,763.40 × 81,932.40
  4. Step 4: Simplify right side
    187,112.40x = 23,003,619,194.16
  5. Step 5: Solve for x
    x = 23,003,619,194.16/187,112.40
  6. Step 6: Final answer
    x = 122,940.11

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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.