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Finding the Fourth Proportional to 135,447.98, 186,919.59 and 81,722.61

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Solution

The fourth proportional to 135,447.98, 186,919.59 and 81,722.61 is: 112,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,447.98 : 186,919.59 = 81,722.61 : x
  2. Step 2: Convert to fraction form
    135,447.98/186,919.59 = 81,722.61/x
  3. Step 3: Cross multiply
    135,447.98x = 186,919.59 × 81,722.61
  4. Step 4: Simplify right side
    135,447.98x = 15,275,556,754.93
  5. Step 5: Solve for x
    x = 15,275,556,754.93/135,447.98
  6. Step 6: Final answer
    x = 112,778.03

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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.