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Finding the Fourth Proportional to 135,443.98, 186,914.06 and 81,718.61

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Solution

The fourth proportional to 135,443.98, 186,914.06 and 81,718.61 is: 112,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,443.98 : 186,914.06 = 81,718.61 : x
  2. Step 2: Convert to fraction form
    135,443.98/186,914.06 = 81,718.61/x
  3. Step 3: Cross multiply
    135,443.98x = 186,914.06 × 81,718.61
  4. Step 4: Simplify right side
    135,443.98x = 15,274,357,187.33
  5. Step 5: Solve for x
    x = 15,274,357,187.33/135,443.98
  6. Step 6: Final answer
    x = 112,772.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.