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Finding the Fourth Proportional to 186,195.69, 279,074.82 and 86,144.57

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Solution

The fourth proportional to 186,195.69, 279,074.82 and 86,144.57 is: 129,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,195.69 : 279,074.82 = 86,144.57 : x
  2. Step 2: Convert to fraction form
    186,195.69/279,074.82 = 86,144.57/x
  3. Step 3: Cross multiply
    186,195.69x = 279,074.82 × 86,144.57
  4. Step 4: Simplify right side
    186,195.69x = 24,040,778,971.35
  5. Step 5: Solve for x
    x = 24,040,778,971.35/186,195.69
  6. Step 6: Final answer
    x = 129,115.66

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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.