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Finding the Fourth Proportional to 83,609.25, 115,343.09 and 49,619.18

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Solution

The fourth proportional to 83,609.25, 115,343.09 and 49,619.18 is: 68,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,609.25 : 115,343.09 = 49,619.18 : x
  2. Step 2: Convert to fraction form
    83,609.25/115,343.09 = 49,619.18/x
  3. Step 3: Cross multiply
    83,609.25x = 115,343.09 × 49,619.18
  4. Step 4: Simplify right side
    83,609.25x = 5,723,228,719.65
  5. Step 5: Solve for x
    x = 5,723,228,719.65/83,609.25
  6. Step 6: Final answer
    x = 68,452.10

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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.