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Finding the Fourth Proportional to 86,409.32, 129,609.66 and 33,828.44

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Solution

The fourth proportional to 86,409.32, 129,609.66 and 33,828.44 is: 50,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,409.32 : 129,609.66 = 33,828.44 : x
  2. Step 2: Convert to fraction form
    86,409.32/129,609.66 = 33,828.44/x
  3. Step 3: Cross multiply
    86,409.32x = 129,609.66 × 33,828.44
  4. Step 4: Simplify right side
    86,409.32x = 4,384,492,606.73
  5. Step 5: Solve for x
    x = 4,384,492,606.73/86,409.32
  6. Step 6: Final answer
    x = 50,740.97

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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.