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Finding the Fourth Proportional to 225,811.20, 338,716.80 and 92,647.20

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Solution

The fourth proportional to 225,811.20, 338,716.80 and 92,647.20 is: 138,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,811.20 : 338,716.80 = 92,647.20 : x
  2. Step 2: Convert to fraction form
    225,811.20/338,716.80 = 92,647.20/x
  3. Step 3: Cross multiply
    225,811.20x = 338,716.80 × 92,647.20
  4. Step 4: Simplify right side
    225,811.20x = 31,381,163,112.96
  5. Step 5: Solve for x
    x = 31,381,163,112.96/225,811.20
  6. Step 6: Final answer
    x = 138,970.80

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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.